Question

解一元二次方程 3（x-2)^2-x（x-2)=0 X^2-2根号3X+2=0

Answer 1

3（x-2)^2-x（x-2)=0

3(x²-4x+4)-x²+2x=0

2x²-10x+12=0

2(x²-5x+6)=0

2(x-2)(x-3)=0

x=2或x=3

X^2-2根号3X+2=0

(x-根号3)²+2-3=0

（x-根号3）²=1

x-根号3=±1

x=±1+根号3