解一元二次方程 X2=4X-4 5X2+2X=3X2+5 2X(X-2)=-3

问题描述:

解一元二次方程 X2=4X-4 5X2+2X=3X2+5 2X(X-2)=-3

X2=4X-4
x^2-4x+4=0
(x-2)^2=0
x=2
5X2+2X=3X2+5
2x^2+2x-5=0
2(x+1/2)^2=11/2
x+1/2=±√11/4
x=(-1±√11)/2
2X(X-2)=-3
2x^2-4x+3=0
2(x^2-2x+1)+1=0
2(x-1)^2+1=0
无解