document.write( "Question 1072925: Please help me solve this rational equation:\r
\n" ); document.write( "\n" ); document.write( " $\"+1%2F%282x%2B2%29+%2B+5%2F%28x%5E2-1%29+=+1%2F%28x-1%29\"$ \r
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Algebra.Com's Answer #687758 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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$\"+1%2F%282x%2B2%29+%2B+5%2F%28x%5E2-1%29+=+1%2F%28x-1%29\"$
\n" ); document.write( "Factor the denominators
\n" ); document.write( " $\"+1%2F%282%28x%2B1%29%29+%2B+5%2F%28%28x-1%29%28x%2B1%29%29+=+1%2F%28x-1%29\"$
\n" ); document.write( "Multiply by the common denominators 2(x+1)(x-1), cancel and we have
\n" ); document.write( "(x-1) + 2(5) = 2(x+1)
\n" ); document.write( "x - 1 + 10 = 2x + 2
\n" ); document.write( "9 - 2 = 2x - x
\n" ); document.write( "7 = x
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\n" ); document.write( "Check in the original equation, replace x=7
\n" ); document.write( " $\"+1%2F%2814%2B2%29+%2B+5%2F%2849-1%29+=+1%2F%287-1%29\"$
\n" ); document.write( " $\"1%2F16+%2B+5%2F48+=+1%2F6\"$
\n" ); document.write( " $\"3%2F48+%2B+5%2F48+=+8%2F48\"$ \n" ); document.write( "

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