document.write( "Question 526735: 1/(x-1)^2+3/(x^2-1)=5/(x^2-1)
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Algebra.Com's Answer #348666 by Maths68(1474) $\"\"$ $\"About$

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$\"1%2F%28x-1%29%5E2%2B3%2F%28x%5E2-1%29=%285%29%2F%28x%5E2-1%29%29\"$
\n" ); document.write( " $\"1%2F%28x-1%29%5E2%2B3%2F%28x-1%29%28x%2B1%29=%285%29%2F%28x-1%29%28x%2B1%29%29\"$
\n" ); document.write( " $\"1%2F%28x-1%29%5E2%2B3%2F%28x-1%29%28x%2B1%29-5%2F%28x-1%29%28x%2B1%29=0%29\"$
\n" ); document.write( "Taking LCD
\n" ); document.write( " $\"%281%28x%2B1%29%2B3%28x-1%29-5%28x-1%29%29%2F%28x-1%29%5E2%28x%2B1%29=0%29\"$
\n" ); document.write( " $\"%28x%2B1%2B3x-3-5x%2B5%29%2F%28x-1%29%5E2%28x%2B1%29=0%29\"$
\n" ); document.write( " $\"%28x%2B3x-5x%2B1-3%2B5%29%2F%28x-1%29%5E2%28x%2B1%29=0%29\"$
\n" ); document.write( " $\"%28-x%2B3%29%2F%28x-1%29%5E2%28x%2B1%29=0%29\"$
\n" ); document.write( " $\"%283-x%29%2F%28x-1%29%5E2%28x%2B1%29=0%29\"$
\n" ); document.write( "Multiply by $\"%28x-1%29%5E2%28x%2B1%29\"$ both sides
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\n" ); document.write( " $\"3-x=0%29\"$
\n" ); document.write( " $\"3=x%29\"$
\n" ); document.write( " $\"x=3%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "Check
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\n" ); document.write( " $\"1%2F%283-1%29%5E2%2B3%2F%28%283%29%5E2-1%29=%285%29%2F%28%283%29%5E2-1%29%29\"$
\n" ); document.write( " $\"1%2F%282%29%5E2%2B3%2F%28%283%29%5E2-1%29=%285%29%2F%28%283%29%5E2-1%29%29\"$
\n" ); document.write( " $\"%281%2F4%29%2B%283%2F%289-1%29%29=%285%29%2F%28%289-1%29%29\"$
\n" ); document.write( " $\"%281%2F4%29%2B%283%2F8%29=5%2F8%29\"$
\n" ); document.write( "Take LCD
\n" ); document.write( " $\"%28%281%2A2%29%2B3%29%2F8%29=5%2F8%29\"$
\n" ); document.write( " $\"%282%2B3%29%2F8=5%2F8%29\"$
\n" ); document.write( " $\"5%2F8=5%2F8%29\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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