document.write( "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! \n" ); document.write( "
Algebra.Com's Answer #600965 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"1%2F%28x-a%29%2B1%2F%28x%2Ba%29\"\"%22%22=%22%22\"\"2%2F%28x-1%29\"\r\n" );
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document.write( "Clear of fractions.  Multiply through by LCD = (x-a)(x+a)(x-1):\r\n" );
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document.write( "\"%28x%2Ba%29%28x-1%29%2B%28x-a%29%28x-1%29\"\"%22%22=%22%22\"\"2%28x-a%29%28x%2Ba%29\"\r\n" );
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document.write( "Use FOIL three times:\r\n" );
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document.write( "\"x%5E2-x%2Bax-a%2Bx%5E2-x-ax%2Ba\"\"%22%22=%22%22\"\"2%28x%5E2%2Bax-ax-a%5E2%29\"\r\n" );
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document.write( "Combine like terms:\r\n" );
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document.write( "\"2x%5E2-2x\"\"%22%22=%22%22\"\"2%28x%5E2-a%5E2%29\"\r\n" );
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document.write( "Distribute to remove parentheses on the right:\r\n" );
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document.write( "\"2x%5E2-2x\"\"%22%22=%22%22\"\"2x%5E2-2a%5E2\"\r\n" );
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document.write( "Add -2x² to both sides:\r\n" );
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document.write( "\"-2x\"\"%22%22=%22%22\"\"-2a%5E2\"\r\n" );
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document.write( "Divide both sides by -2:\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"a%5E2\"\r\n" );
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document.write( "Edwin
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