(n+nL^2)/L^3=n/2,求L的值

(n+nL^2)/L^3=n/2
n+nL^2=L^3*n/2
因为n不等于0
所以
1+L^2=(L^3)/2
2+2L^2-L^3=0
然后用微积分,牛顿法求解
L=2.3593041

在(n+nL^2)/L^3=n/2式中,已知n为任意正整数,求L的值.

确认题目没错误吗? n可以约去啊

(n+nL^2)/L^3=n/2

(1+L^2/L^3=1/2

2+2L^2=L^3

L^3-2L^2-2=0