因式法解方程(1)(x-1)^2+2x(x-1)=0 (2)(x-2)^2=(2x+5)^2
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因式法解方程(1)(x-1)^2+2x(x-1)=0 (2)(x-2)^2=(2x+5)^2
因式法解方程(1)(x-1)^2+2x(x-1)=0 (2)(x-2)^2=(2x+5)^2
因式法解方程(1)(x-1)^2+2x(x-1)=0 (2)(x-2)^2=(2x+5)^2
1.(x-1)(x-1+2x)=0
(x-1)(3x-1)=0
x-1=0,3x-1=0
x=1,x=1/3
2.(x-2-2x-5)(x-2+2x+5)=0
(-x-7)(3x+3)=0
-x-7=0,3x+3=0
x=-7,x=-1
(x-1)^2+2x(x-1)=(x-1)(3x-1)=0
所以x=1或1/3
(2)(x-2)^2=(2x+5)^2
所以 (x-2)=(2x+5)
或 (x-2)=-(2x+5)
分别解得:x=-7或-1
(x-1)^2+2x(x-1)=0
(x-1)(x-1+2x)=0
(x-1)(3x-1)=0
所以x=1或x=1/3
(2)(x-2)^2=(2x+5)^2
(x-2)^2-(2x+5)^2=0
[(x-2)+(2x+5)][(x-2)-(2x+5)]=0
[3x+3][-x-7]=0
所以x=-1或x=-7
(x-1)(x-1+2)=0
x=1或x=-1
(x-2)^2=(2x+5)^2
(x-2)^2-(2x+5)^2
(x-2-2x-5)(x-2+2x+5)=0
(-x-7)(3x+3)=0
x=-7,x=-1
(1)(x-1)^2+2x(x-1)=0
(x-1)*(x-1+2x)=0
所以 x=1或x=1/3
(2)(x-2)^2=(2x+5)^2
(x-2)^2-(2x+5)^2=0
(x-2+2x+5)*(x-2-2x-5)=0
(3x+3)*(-x-7)=0
所以 x=-1或x=-7