计算器没带回来帮忙解一个一元三次方程n^3-3n-1000=0

Question

计算器没带回来 帮忙解一个一元三次方程
n^3-3n-1000=0

Answer 1

三个根：
x =
1/(249999^(1/2) + 500)^(1/3) + (249999^(1/2) + 500)^(1/3)
- 1/(2*(249999^(1/2) + 500)^(1/3)) - (249999^(1/2) + 500)^(1/3)/2 + (3^(1/2)*(1/(249999^(1/2) + 500)^(1/3) - (249999^(1/2) + 500)^(1/3))*i)/2
- 1/(2*(249999^(1/2) + 500)^(1/3)) - (249999^(1/2) + 500)^(1/3)/2 - (3^(1/2)*(1/(249999^(1/2) + 500)^(1/3) - (249999^(1/2) + 500)^(1/3))*i)/2