(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

(1/x-3)+(1/x+3)=(10/x²-9)

2. The attempt at a solution

(1/x-3)+(1/x+3)=(10/x²-9)

(1/x-3)+(1/x+3)=(10/(x+3)(x-3)) - I factored the x^2-9 to make it easier to multiply by LCD.

x+3+x-3=10 - I multipled both sides by the LCD [(x+3)(x-3)]

2x=10 - Combined like terms

x=5 - Divided both sides by 2.

Am I wrong or is the book wrong for having the answer as x=2 ?

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# Homework Help: Solving an equation and checking solution

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