这一问题，人工去计算的话，将会非常非常地复杂！不过我们可以利用数学软件。

我用的是Matlab，它能解决许多问题包括解一元四次方程。

由于此软件在定义n、V、C时把n当成了常量处理，因此用x代替。第一张图是测试。

以下的答案是把n当变量，V、C为常量，四个根的结果如下：

ans：

n1=1/2+1/6*3^(1/2)/v*(1/v*(v^3*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)+2*v*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*c^2+((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(2/3)-11*v^2*c^4+12*v^2*c^2+v^6-2*c^2*v^4)/((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3))^(1/2)+1/6/v*(-3/v*(-2*v^3*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*(1/v*(v^3*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)+2*v*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*c^2+((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(2/3)-11*v^2*c^4+12*v^2*c^2+v^6-2*c^2*v^4)/((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3))^(1/2)-4*(1/v*(v^3*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)+2*v*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*c^2+((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(2/3)-11*v^2*c^4+12*v^2*c^2+v^6-2*c^2*v^4)/((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3))^(1/2)*v*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*c^2+(1/v*(v^3*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)+2*v*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*c^2+((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(2/3)-11*v^2*c^4+12*v^2*c^2+v^6-2*c^2*v^4)/((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3))^(1/2)*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(2/3)-11*(1/v*(v^3*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)+2*v*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*c^2+((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(2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n2=1/2+1/6*3^(1/2)/v*(1/v*(v^3*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)+2*v*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*c^2+((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(2/3)-11*v^2*c^4+12*v^2*c^2+v^6-2*c^2*v^4)/((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3))^(1/2)-1/6/v*(-3/v*(-2*v^3*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*(1/v*(v^3*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)+2*v*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*c^2+((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(2/3)-11*v^2*c^4+12*v^2*c^2+v^6-2*c^2*v^4)/((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3))^(1/2)-4*(1/v*(v^3*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)+2*v*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*c^2+((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(2/3)-11*v^2*c^4+12*v^2*c^2+v^6-2*c^2*v^4)/((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3))^(1/2)*v*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*c^2+(1/v*(v^3*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)+2*v*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*c^2+((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(2/3)-11*v^2*c^4+12*v^2*c^2+v^6-2*c^2*v^4)/((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3))^(1/2)*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(2/3)-11*(1/v*(v^3*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)+2*v*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*c^2+((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(2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n3=1/2-1/6*3^(1/2)/v*(1/v*(v^3*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)+2*v*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*c^2+((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(2/3)-11*v^2*c^4+12*v^2*c^2+v^6-2*c^2*v^4)/((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3))^(1/2)+1/6/v*(-3/v*(-2*v^3*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*(1/v*(v^3*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)+2*v*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*c^2+((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(2/3)-11*v^2*c^4+12*v^2*c^2+v^6-2*c^2*v^4)/((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3))^(1/2)-4*(1/v*(v^3*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)+2*v*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*c^2+((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(2/3)-11*v^2*c^4+12*v^2*c^2+v^6-2*c^2*v^4)/((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3))^(1/2)*v*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*c^2+(1/v*(v^3*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)+2*v*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*c^2+((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(2/3)-11*v^2*c^4+12*v^2*c^2+v^6-2*c^2*v^4)/((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3))^(1/2)*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(2/3)-11*(1/v*(v^3*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)+2*v*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*c^2+((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(2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n4=1/2-1/6*3^(1/2)/v*(1/v*(v^3*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)+2*v*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*c^2+((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(2/3)-11*v^2*c^4+12*v^2*c^2+v^6-2*c^2*v^4)/((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3))^(1/2)-1/6/v*(-3/v*(-2*v^3*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*(1/v*(v^3*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)+2*v*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*c^2+((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(2/3)-11*v^2*c^4+12*v^2*c^2+v^6-2*c^2*v^4)/((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3))^(1/2)-4*(1/v*(v^3*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)+2*v*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*c^2+((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(2/3)-11*v^2*c^4+12*v^2*c^2+v^6-2*c^2*v^4)/((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3))^(1/2)*v*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*c^2+(1/v*(v^3*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)+2*v*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*c^2+((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(2/3)-11*v^2*c^4+12*v^2*c^2+v^6-2*c^2*v^4)/((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3))^(1/2)*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(2/3)-11*(1/v*(v^3*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)+2*v*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*c^2+((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(2/3)-11*v^2*c^4+12*v^2*c^2+v^6-2*c^2*v^4)/((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3))^(1/2)*v^2*c^4+12*(1/v*(v^3*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)+2*v*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*c^2+((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(2/3)-11*v^2*c^4+12*v^2*c^2+v^6-2*c^2*v^4)/((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3))^(1/2)*v^2*c^2+(1/v*(v^3*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)+2*v*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*c^2+((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(2/3)-11*v^2*c^4+12*v^2*c^2+v^6-2*c^2*v^4)/((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3))^(1/2)*v^6-2*(1/v*(v^3*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)+2*v*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*c^2+((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(2/3)-11*v^2*c^4+12*v^2*c^2+v^6-2*c^2*v^4)/((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3))^(1/2)*c^2*v^4+6*c^2*3^(1/2)*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*v^2-12*c^2*3^(1/2)*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3))/((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)/(1/v*(v^3*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)+2*v*((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3)*c^2+((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(2/3)-11*v^2*c^4+12*v^2*c^2+v^6-2*c^2*v^4)/((-15*v^4*c^4-37*v^2*c^6+18*c^2*v^4-18*v^2*c^4+54*c^4+v^8-3*v^6*c^2+6*c^3*(-3*v^6+96*c^2*v^4-111*v^2*c^4+6*v^4-54*v^2*c^2+81*c^2-3*v^10+6*v^8*c^2+51*c^4*v^6+6*v^8-66*v^6*c^2+75*c^6*v^4-84*v^4*c^4)^(1/2))*v)^(1/3))^(1/2))^(1/2)

设V=aC,-1<a<1。代入方程，除以C4次，消掉。得到a和n的4次方程。n的根太长。把a当变量，根比较简洁。

a的4个根如图所示。根据-1<a<1以及根的表达式（根号内大于0的约束条件）应该能够求出n的范围。

根据n根的函数表达式去求最值，我试过几遍了，显示不了，出现错误提示。不知怎么回事，一般函数能够显示。

未必成熟的本题解题构思

   本题的题设是v<c，这个题设实际上隐含了v²<c²。因为题意是要找算式不为零结果的实数n的范围，所以，只要把使原算式为零的所有n找出来，去掉，剩余的n就是使原算式不为零的n了。根据这种题意，可以先设原算式为零，所以有

v⁴n⁴-2v⁴n³＋v⁴n²-v²n²c²＋2nc⁴-c⁴＝0

   上式实际上是关于v²的二次方程。把上式进一步化简，得

n²(n-1)²v⁴-v²n²c²＋(2n-1)c⁴＝0

   要使上式成立，必要条件是v²在实数范围存在，v²存在的必要条件是判别式△≥0，所以，n²(-8n³+21n²-16n+4)≥0①。

  当n≠0且n≠1时，v²=(n²±△^1/2)c²/2 n²(n-1)²,

  因为v²不为负，所以必有n²≥△^1/2②。

  注意到题设条件v<c，推及v²<c²，所以，由v²=(n²±△^1/2)c²/2 n²(n-1)² 便得到：

(n²±△^1/2)／2 n²(n-1)²<1③。

    到此，本题的解便归结为下述高次不等式组的解：

     n²(-8n³+21n²-16n+4)≥0①；

   n²≥[n²(-8n³+21n²-16n+4)]^1/2②；

   (n²±[n²(-8n³+21n²-16n+4)]^1/2)／2 n²(n-1)²<1③。

  往下的工作就是解高次不等式组，找出公共解n，去掉，剩余的n就是符合原题要求的n了。

   如果上述构思没有问题的话，下面，这就要看“高次不等式组”高手们的了（我对“高次不等式组”却不内行）…

   如果公共解n不存在，那就是任意实数都能使原算式不为零，这时，对应的物理意义就是：相对论的“同时相对性”结论在任意实数范围都不成立！！…

TO[103楼]：回复“全部满足题意的解是 0.5＜n＜1”：不知你所说的“题意”指的是什么？如果指的是我那数学题的题意，那么，“0.5＜n＜1”便不是满足题意的解！！随便两个数据：取n=0.6并取原算式为零，这时将反推出v≈2.7c；取n=0.7并取原算式为零，将反推出v≈3.5c。这些都是与题设v<c相矛盾的…

   或许这就是数学教师的职业病，弄出个自己解不了的数学题，总希望有人给出个解法，不然就老是感觉还有什么事情没有做，这大概就是人们常说的“虚荣心”吧…

    四次方程有四个解，你这是其中的解之一还数字不准(分别应是2.37和3.20)，我限定[97楼]中的表达式“根号内的根号取负值”，所以就只有两解符合题意了，n=0.6、0.7的解分别约为±0.78507和±0.94189。

讲述一下这样的解题技巧﹕

    1.首先将方程化解为第[97楼]的形式，得到根号内有根号的等式就在很大程度上限止了n的取值范围，再找出满足0＜a²＜1的条件就是本方程的解。

    2.在根号内的根号中是一个n的三次函数，先建立y=f(x)的直角坐标作草图(数学基础好的不用作图)，便可发现是有两个拐点的∽曲线，经第二个拐点后函数快速下滑，而根据题意y又必须取大于或等于零，所以我们用求导数的方法很容易找到两个拐点(我的[103楼]没计算)，再求y等于零的n极大值。

    3.求解y=0的方程解可以用代数法，先将方程化为x³+bx+c=0的形式，但代数法公式难记，不如根据图示直接在电脑上用数值逼近法快，得到本函数唯一的一个实数根是 n≤1.53329641666031，此曲线与x(n)轴只有一个交点。

    4.确定根号内根号的正负取值，先取正号用数值代入无解，再取负号代入只有0.5＜n＜1符合题意。

TO[106、107楼]：赞同[107楼]解题技巧的启示…

利用Matlab的绘图功能，我求出来了。

根据97楼，首先可以看出n>0,n不等于1.

根据-8n^3+21n^2-16n+4>0得出n<1.5333(求出的根）图1.

在以上范围内，图2得出0.5<n<1.5333,图3还是上述结论。

图4得出最终范围：0.5<n<1.这是正负两个根的结论。

同理，另两个根无解，因为根据最终表达式使a超出【-1，1】的范围。

※※※※※※
天地之道，以阴阳二气造化万物。是故易有太极，是生两仪。两仪生四象，四象生八卦。

第三，第四副图标注错了。现在改回来了。计算公式看了一遍，没出错。