因式分解解方程:-8x^2+10x=0,4x^2=(3x-1)^2
问题描述:
因式分解解方程:-8x^2+10x=0,4x^2=(3x-1)^2
答
8x^2-10x=0
2x(4x-5)=0
所以x1=0,x2=5/4.
4x^2-(3x-1)^2=0
(2x)^2-(3x-1)^2=0
(2x-3x+1)(2x+3x-1)=0
(-x+1)(5x-1)=0
(x-1)(5x-1)=0
所以:
x1=1,x2=1/5.