xx22x24xx24Solutionxx22x24xx24 Subtract from both sides xx22

x/(x-2)-2/(x+2)=4x/(x^2-4)

Solution

x/(x-2)-2/(x+2)=4x/(x^2-4)

Subtract from both sides:

x/(x-2)-2/(x+2) - 4x/(x^2-4) =0

Taking (x-2)(x+2) as LCD :

{ x(x+2) -2(x-2) -4x }/(x^2-4) =0\\

{ x^2 +2x -2x+4 -4x }/(x^2 -4) =0

( x^2 -4x +4}/(x^2 -4) =0

Equating numerator to zero:

x^2 -4x+4=0

(x-2)^2 =0

x= 2, 2

x/(x-2)-2/(x+2)=4x/(x^2-4)Solutionx/(x-2)-2/(x+2)=4x/(x^2-4) Subtract from both sides: x/(x-2)-2/(x+2) - 4x/(x^2-4) =0 Taking (x-2)(x+2) as LCD : { x(x+2) -2(x-

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