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用分解因式法解方程①4x(2-x)=3(2-x)②3(x-1)x=2-2x③4(x+1)^2=9(2x-1)^2④(x-1)^2=1-x^2
人气:328 ℃ 时间:2020-05-19 18:22:41
解答
①4x(2-x)=3(2-x)
(4x-3)(2-x)=0
x1=3/4 x2=2
②3(x-1)x=2-2x
3(x-1)x=2(1-x)
(x-1)(3x+2)=0
x1=1 x2=-2/3
③4(x+1)^2=9(2x-1)^2
[2(x+1)-3(2x-1)][2(x+1)+3(2x-1)]=0
(-4x+5)(8x-1)=0
x1=5/4 x2=1/8
④(x-1)^2=1-x^2
(x-1)^2=(1+x)(1-x)
(x-1)^2+(1+x)(x-1)=0
(x-1)(x-1+1+x)=0
2x(x-1)=0
x1=0 x2=1
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