用因式分解法解一元二次方程 7x(5x+2)=6(3x+2) 2x+6=(x+3)^2 (x-3)^2=x^2-9
1个回答
2016-09-10
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7x(5x+2)=6(5x+2)
7x(5x+2)-6(5x+2) =0
(5x+2)(7x-6)=0
x1=-2/5
x2=6/7
2x+6=(x+3)^2
(x+3)^2-(2x+6)=0
(x+3)^2-2(x+3)=0
(x+3)(x+3-2)=0
(x+3)(x+1)=0
x1=-3
x2=-1
(x-3)^2=x^2-9
(x^2-9)-(x-3)^2=0
(x+3)(x-3)-(x-3)^2=0
(x-3)(x+3-x+3)=0
6(x-3)=0
x1=x2=3
7x(5x+2)-6(5x+2) =0
(5x+2)(7x-6)=0
x1=-2/5
x2=6/7
2x+6=(x+3)^2
(x+3)^2-(2x+6)=0
(x+3)^2-2(x+3)=0
(x+3)(x+3-2)=0
(x+3)(x+1)=0
x1=-3
x2=-1
(x-3)^2=x^2-9
(x^2-9)-(x-3)^2=0
(x+3)(x-3)-(x-3)^2=0
(x-3)(x+3-x+3)=0
6(x-3)=0
x1=x2=3
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