(1)(2)两题,
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(1)(2)两题,
(1)(2)两题,
(1)(2)两题,
1.依题意可得:x≠±1
3(x+1)/(x^2-1) - (x+3)/ (x^2-1)=0
∴3(x+1)- (x+3)=0
∴x=0
2.依题意可得:x≠-1且x≠2
[x(x-2)-(x+1)(x-2)]/(x+1)(x-2)=3/(x+1)(x-2)
∴x(x-2)-(x+1)(x-2)=3
∴-(x-2)=3
∴x=-1
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1、3*(x+1)=x+3
3x+3=x+3
2x=0
x=0
2、x(x-2)-(x+1)(x-2)=3
x*x-2x-(x*x-x-2)=3
-x+2=3
x=-1
分母为0,无意义。
1.3/(x+1) - (x+3)/(x^2 -1) = 0
移项,得 3/(x + 1) = (x +3) /(x-1)(x+1)
两边同乘 (x+1)(x-1),可得:3(x-1) = x + 3
整理可得:3x - 3 = x +3
2x=0
x=0
将x = 0...
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1.3/(x+1) - (x+3)/(x^2 -1) = 0
移项,得 3/(x + 1) = (x +3) /(x-1)(x+1)
两边同乘 (x+1)(x-1),可得:3(x-1) = x + 3
整理可得:3x - 3 = x +3
2x=0
x=0
将x = 0带入原式,分母不为零,有意义,故x = 0
2. x /(x+1) -1 = 3/(x+1)(x-2)
两边同乘(x+1)(x-2),可得:x(x-2) - (x+1)(x-2) = 3
合并同类项,可得:【x-(x+1)】(x-2) = 3
-( x-2) = 3
x = -1
将x = -1带入原式,分母为0,无意义,故此题无解
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