document.write( "Question 932225: x-2/x+1=x+1/x-2 solve for the variable X, if the solution is undefined please state that in the answer. Provide a check for answer thank you. I think this problem is undefined, but I'm not sure. Thank you for your help! \n" ); document.write( "

Algebra.Com's Answer #566094 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28x-2%29%2F%28x%2B1%29+=+%28x%2B1%29%2F%28x-2%29\"$
\n" ); document.write( "cross multiply
\n" ); document.write( "(x-2)(x-2) = (x+1)(x+1)
\n" ); document.write( "FOIL
\n" ); document.write( "x^2 - 4x + 4 = x^2 + 2x + 1
\n" ); document.write( "Combine like terms
\n" ); document.write( "x^2 - x^2 - 4x - 2x = 1 - 4
\n" ); document.write( "-6x = -3
\n" ); document.write( "x = -3/-6
\n" ); document.write( "x = +.5
\n" ); document.write( ":
\n" ); document.write( "Check this for x = .5
\n" ); document.write( " $\"%28.5-2%29%2F%28.5%2B1%29+=+%28.5%2B1%29%2F%28.5-2%29\"$
\n" ); document.write( " $\"%28-1.5%29%2F1.5\"$ = $\"1.5%2F%28-1.5%29\"$
\n" ); document.write( "-1 = -1 \n" ); document.write( "

\n" );