用因式分解法解一元二次方程
问题描述:
用因式分解法解一元二次方程
(1) 9(X-2)²=4(X+1)²
(2) (2X-1)²-X²-4X-4=0
答
9(X-2)²=4(X+1)²9(X-2)²-4(X+1)²=0[3(x-2)+2(x+1)][3(x-2)-2(x+1)]=0(5x-4)(x-8)=0x=5/4或x=8(2X-1)²-X²-4X-4=0 (2X-1)²-(X²+4X+4)=0 (2X-1)²-(x+2)^2=0 (2x-1+...