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用因式分解法解下列方程:(1)(4x-1)(5x+7)=0.(2)3x(x-1)=2-2x.(3)(2x+3)2=4(2x+3).(4)2(x-3)2=x2-9.
题目内容:
用因式分解法解下列方程:
(1)(4x-1)(5x+7)=0.
(2)3x(x-1)=2-2x.
(3)(2x+3)2=4(2x+3).
(4)2(x-3)2=x2-9.优质解答
(1))(4x-1)(5x+7)=0,
4x-1=0,5x+7=0,
x1=1 4
,x2=-7 5
;
(2)3x(x-1)=2-2x,
3x(x-1)+2(x-1)=0,
(x-1)(3x+2)=0,
x-1=0,3x+2=0,
x1=1,x2=-2 3
;
(3)(2x+3)2=4(2x+3),
(2x+3)2-4(2x+3)=0,
(2x+3)(2x+3-4)=0,
2x+3=0,2x+3-4=0,
x1=-3 2
,x2=1 2
;
(4)2(x-3)2=x2-9,
2(x-3)2-(x+3)(x-3)=0,
(x-3)[2(x-3)-(x+3)]=0,
x-3=0,2(x-3)-(x+3)=0,
x1=3,x2=9.
(1)(4x-1)(5x+7)=0.
(2)3x(x-1)=2-2x.
(3)(2x+3)2=4(2x+3).
(4)2(x-3)2=x2-9.
优质解答
4x-1=0,5x+7=0,
x1=
1 |
4 |
7 |
5 |
(2)3x(x-1)=2-2x,
3x(x-1)+2(x-1)=0,
(x-1)(3x+2)=0,
x-1=0,3x+2=0,
x1=1,x2=-
2 |
3 |
(3)(2x+3)2=4(2x+3),
(2x+3)2-4(2x+3)=0,
(2x+3)(2x+3-4)=0,
2x+3=0,2x+3-4=0,
x1=-
3 |
2 |
1 |
2 |
(4)2(x-3)2=x2-9,
2(x-3)2-(x+3)(x-3)=0,
(x-3)[2(x-3)-(x+3)]=0,
x-3=0,2(x-3)-(x+3)=0,
x1=3,x2=9.
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