解方程(1)2-x/(x-3)+3=2/(3-x) (2)a+b/x-b/a-a/b=2(ab≠0,a+b≠0)

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解方程(1)2-x/(x-3)+3=2/(3-x) (2)a+b/x-b/a-a/b=2(ab≠0,a+b≠0)
解方程(1)2-x/(x-3)+3=2/(3-x) (2)a+b/x-b/a-a/b=2(ab≠0,a+b≠0)

解方程(1)2-x/(x-3)+3=2/(3-x) (2)a+b/x-b/a-a/b=2(ab≠0,a+b≠0)
(1)(2-x)/(x-3)+3=2/(3-x)
( 2-x)/(x-3)+3-2/(3-x)=0
(2-x)/(x-3)+2/(x-3)+3=0
(2-x+2)/(x-3)=-3
4-x=9-3x
2x=5
x=2.5
(2)a+b/x-b/a-a/b=2
方程两侧同乘abx得
(a+b)ab-b²x-a²x=2abx
b²x+a²x+2abx= (a+b)ab
(a+b)²x=(a+b)ab
x=ab/(a+b)