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Solve for x : 3/(x+1)+4/(x-1)=29/(4x-1);x!=1,-1,1/4 - Mathematics

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Solve for x :

`3/(x+1)+4/(x-1)=29/(4x-1);x!=1,-1,1/4`

 

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Solution

`3/(x+1)+4/(x-1)=29/(4x-1)`

`=>(3(x-1)+4(x+1))/((x+1)(x-1))=29/(4x-1)`

`=>(3x-3+4x+4)/((x+1)(x-1))=29/(4x-1)`

 `=>(7x+1)/(x^2-1)=29/(4x-1)`

 (7x+1)(4x1)=29(x21)

28x2+4x7x1=29x229

28x23x1=29x229

x2+3x28=0

x2+7x4x28=0

x(x+7)4(x+7)=0

(x+7)(x4)=0

x+7=0 or x4=0

x=7 or x=4

Concept: Solutions of Quadratic Equations by Factorization
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