document.write( "Question 159353: x/x^2-1+2/x+1=1+1/2x-2 \n" ); document.write( "
Algebra.Com's Answer #117579 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Assume your problem is:
\n" ); document.write( "\"x%2F%28%28x%5E2-1%29%29\" + \"2%2F%28%28x%2B1%29%29\" = 1 + \"1%2F%28%282x-2%29%29\"
\n" ); document.write( "Factor
\n" ); document.write( "\"x%2F%28%28x-1%29%28x%2B1%29%29\" + \"2%2F%28%28x%2B1%29%29\" = 1 + \"1%2F%282%28x-1%29%29\"
\n" ); document.write( "Multiply by common denominator; 2(x+1)(x-1), results:
\n" ); document.write( "2x + 2(2(x-1)) = 2(x+1)(x-1) + (x+1)
\n" ); document.write( ":
\n" ); document.write( "2x + 4x - 4 = 2(x^2-1) + (x + 1)
\n" ); document.write( ":
\n" ); document.write( "6x - 4 = 2x^2 - 2 + x + 1
\n" ); document.write( ":
\n" ); document.write( "6x - 4 = 2x^2 + x - 1
\n" ); document.write( ":
\n" ); document.write( "0 = 2x^2 + x - 6x - 1 + 4
\n" ); document.write( ":
\n" ); document.write( "0 = 2x^2 - 5x + 3
\n" ); document.write( "Factor this to
\n" ); document.write( "(2x-3)(x-1) = 0
\n" ); document.write( "two solutions:
\n" ); document.write( "x = 1
\n" ); document.write( "and
\n" ); document.write( "2x = 3
\n" ); document.write( "x = \"3%2F2\"
\n" ); document.write( "x = 1.5
\n" ); document.write( ";
\n" ); document.write( "The 1st answer, x=1 cannot be a solution, division by 0, therefore;
\n" ); document.write( "x = 1.5 is the only solution
\n" ); document.write( ":
\n" ); document.write( "Check it in the original equation \n" ); document.write( "
\n" );