document.write( "Question 157392: 24/(x-2)+24/(x+2)=5 please help me solve this problem \n" ); document.write( "

Algebra.Com's Answer #116009 by gonzo(654) $\"\"$ $\"About$

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solving for $\"24%2F%28x-2%29%2B24%2F%28x%2B2%29=5\"$
\n" ); document.write( "first multiply both sides of the equation by (x-2)*(x+2) to remove the denominators.
\n" ); document.write( "equation becomes $\"24%2A%28x%2B2%29+%2B+24%2A%28x-2%29+=+5%2A%28x-2%29%2A%28x%2B2%29\"$
\n" ); document.write( "multiplying out on both sides of the equation and it becomes
\n" ); document.write( " $\"%2848%2Ax%29+=+5%2A%28x%5E2-4%29\"$ which then becomes
\n" ); document.write( " $\"48%2Ax+=+5%2Ax%5E2+-+20\"$
\n" ); document.write( "moving all terms to one side of the equation we get the quadratic equation of
\n" ); document.write( " $\"5%2Ax%5E2+-+48%2Ax+-+20+=+0\"$
\n" ); document.write( "this factors out to
\n" ); document.write( " $\"%285%2Ax%2B2%29%2A%28x-10%29=0\"$
\n" ); document.write( "and that's your answer.\r
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