document.write( "Question 89343: \n" ); document.write( "
Algebra.Com's Answer #64925 by malakumar_kos@yahoo.com(315)![]() ![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( " Find the solution set for \n" ); document.write( "x/x-1 - 1/x+1 = 2/x^2-1\r \n" ); document.write( "\n" ); document.write( " L.C.M. of x-1 & x+1 is x^2-1\r \n" ); document.write( "\n" ); document.write( " x(x+1)-1(x-1)/x^2-1 = 2/x^2-1\r \n" ); document.write( "\n" ); document.write( " x^2+x-x+1 = 2 (cancel x^2-1 on both sides)\r \n" ); document.write( "\n" ); document.write( " x^2+1-2 = 0 \n" ); document.write( " x^2-1 = 0 \n" ); document.write( " (x+1) (x-1) = 0 \r \n" ); document.write( "\n" ); document.write( " x+1 = 0 or x = -1\r \n" ); document.write( "\n" ); document.write( " x-1 = 0 or x= 1 therefore solution set for the given expression \r \n" ); document.write( "\n" ); document.write( " is x = +1 or -1 \n" ); document.write( " |