2x³-3x²+1怎么解

2x³-3x²+1怎么解
2x³-3x²+1怎么解

2x³-3x²+1怎么解
0=2x^3-3x^2+1
=2x^3-2x^2-x^2+x-x+1
=2x^2(x-1)-x(x-1)-(x-1)
=(x-1)(2x^2-x-1)
=(x-1)^2*(2x+1)
x-1=0 或 2x+1=0
解得x=1 或 x=-1/2