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用因式分解法解二元一次方程,要求写清步骤恩.(3x-1)²=9;(3x+2)²=4(3x+2);2(x-4)²=3x²-3;3(x-1)²=2(x-1);(x-1)²=3x(x-1);(x-1)(2x+5)=0;(2x+5)²=2x+

题目详情
用因式分解法解二元一次方程,要求写清步骤恩.
(3x-1)²=9 ; (3x+2)²=4(3x+2);2(x-4)²=3x²-3;3(x-1)²=2(x-1);(x-1)²=3x(x-1);(x-1)(2x+5)=0;(2x+5)²=2x+5;x²-2x+1=0
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答案和解析
(3x-1)²=9 ;(3x-1)²-9 =0 (3x-1+3)(3x-1-3)=0 x1=-2,x2=4
(3x+2)²=4(3x+2) (3x+2)²-4(3x+2)=0 (3x+2)(3x+2-4)=0 x1=-2/3,x2=2/3
2(x-4)²=3x²-3;2x^2-16x+32=3x^2-3 x^2+16x-35=0 (x+8)^2-99=0 (x+8+3√11)(x+8-3√11)=0 x1=-8-3√11,x2=-8+3√11
3(x-1)²=2(x-1) (x-1)(3x-3-2)=0 x1=1,x2=5/3
(x-1)²=3x(x-1) (x-1)(x-1-3x)=0 x1=1,x2=-1/2
(x-1)(2x+5)=0 x=1,x=-5/2
(2x+5)²=2x+5; (2x+5)(2x+5-1)=0 x-5/2,x=-2
x²-2x+1=0 (x-1)^2=0 x=1