解方程:(3x+1)[(x-1)²-2]=0

问题描述:

解方程:(3x+1)[(x-1)²-2]=0

(3x+1)[(x-1)²-2]=0
3x+1=0或(x-1)²-2=0
3x+1=0
3x=-1
x=-1/3
(x-1)²-2=0
(x-1)²=2
x-1=±√2
x=±√2+1
x1=-1/3,x2=√2+1,x3=-√2+1

3x+1=0 x=-1/3
(x-1)^2-2=0
(x-1)^2=2
x-1=+-根号2
x=1+-根号2