SOLUTION: Solve 1/(x-a)+1/(x+a)=2/(x-1). The answer is x=a^2 but I don't know how to get that. Thank you!

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Question 979682: Solve 1/(x-a)+1/(x+a)=2/(x-1). The answer is x=a^2 but I don't know how to get that. Thank you!
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!


Clear of fractions.  Multiply through by LCD = (x-a)(x+a)(x-1):



Use FOIL three times:



Combine like terms:



Distribute to remove parentheses on the right:



Add -2x² to both sides:



Divide both sides by -2:



Edwin

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