用因式分解法解下列方程,是因式分解
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/08/31 22:35:12
用因式分解法解下列方程,是因式分解
(x-4)^2=(5-2x)^2
(2x-1)^2=(3-x)^2
2(x+3)^2=x^2-9
(x-4)^2=(5-2x)^2
(2x-1)^2=(3-x)^2
2(x+3)^2=x^2-9
(x-4)^2=(5-2x)^2
(x-4)²-(2x-5)²=0
(x-4+2x-5)(x-4-2x+5)=0
(3x-9)(-x+1)=0
x=3或x=1
(2x-1)^2=(3-x)^2
(2x-1)²-(x-3)²=0
(2x-1+x-3)(2x-1-x+3)=0
(3x-4)(x+2)=0
x=4/3或x=-2
2(x+3)^2=x^2-9
2(x+3)²-(x+3)(x-3)=0
(x+3)(2x+6-x+3)=0
(x+3)(x+9)=0
x=-3或x=-9
(x-4)²-(2x-5)²=0
(x-4+2x-5)(x-4-2x+5)=0
(3x-9)(-x+1)=0
x=3或x=1
(2x-1)^2=(3-x)^2
(2x-1)²-(x-3)²=0
(2x-1+x-3)(2x-1-x+3)=0
(3x-4)(x+2)=0
x=4/3或x=-2
2(x+3)^2=x^2-9
2(x+3)²-(x+3)(x-3)=0
(x+3)(2x+6-x+3)=0
(x+3)(x+9)=0
x=-3或x=-9