一些常见的数学题3q very much

来源：学生作业帮编辑：搜搜考试网作业帮分类：数学作业时间：2024/06/05 05:21:04

一些常见的数学题
3q very much

1/(x^2-y^2)+2/(x-y)^2
=1/(x+y)(x-y)+2/(x-y)^2
=(x-y+2(x+y))/(x+y)(x-y)^2
=(3x+y)/(x+y)(x-y)^2
1.
x/(x-3)-2=-3/(3-x)
x/(x-3)-3/(x-3)-2=0
-2=0无解
2.
(x+1)(x-1)+2(x-1)^2=0
(x-1)(x+1+2x-2)=0
(x-1)(3x-1)=0
x=1,1/3
又x-1不为0
则x=1/3
3.
(5x-1)^2-(3x-2)^2=0
(5x-1-(3x-2))(5x-1+3x-2)=0
(2x+1)(8x-3)=0
x=-1/2,3/8
4.
7x^2+2x=0
x(7x+2)=0
x=0,-2/7
5.
(2x-5)^2-x^2=0
(2x-5-x)(2x-5+x)=0
(x-5)(3x-5)=0
x=5,3/5
x^2/25-y^2/16
=(x/5-y/4)(x/5+y/4)

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