4x^2-2=-x怎么算?

题目

4x^2-2=-x怎么算?

答案

4x²-2=-x
4x²+x-2=0
x²+x/4+(1/8)²=1/2+1/64
(x+1/8)²=33/64
x+1/8=±√33/8
x=-1/8±√33/8
x1=(-1+√33)/8,x2=(-1-√33)/8