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Solve for X - Algebra

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Solve for x:

`16/x-1=15/(x+1);x!=0,-1`

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Solution

Given :

`16/x-1=15/(x+1);x!=0,-1`

`(16-x)/x=15/(x+1)`

`(16-x)(x+1)=15x`

`16x+16-x^2-x=15x`

`16=x^2`

`x=4`

Concept: Solutions of Quadratic Equations by Completing the Square
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