document.write( "Question 103206: How do you solve?
\n" ); document.write( " $\"3%2F%28x-1%29-6%2F%28x%5E2-1%29=1\"$ \n" ); document.write( "

Algebra.Com's Answer #75069 by edjones(8007) $\"\"$ $\"About$

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$\"3%2F%28x-1%29-6%2F%28x%5E2-1%29=1\"$
\n" ); document.write( " $\"3%2F%28x-1%29-6%2F%28x-1%29%28x%2B1%29=1\"$ Factor.
\n" ); document.write( " $\"3%28x%2B1%29-6=%28x%2B1%29%28x-1%29\"$ multiply both sides times (x-1)(x+1)
\n" ); document.write( "3x+3-6=x^2-1 Expand.
\n" ); document.write( "x^2-3x+2=0 subtract 3x-3 from each side.
\n" ); document.write( "(x-1)(x-2)=0
\n" ); document.write( "x=2, x=1
\n" ); document.write( "x=1 gives a division by zero error in the original equation.
\n" ); document.write( "x=2 is the only answer.
\n" ); document.write( "Check:
\n" ); document.write( "3/1-6/3=1...3-2=1
\n" ); document.write( "Ed \n" ); document.write( "

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