document.write( "Question 239853: Solve x+5/x^2+x = 1/x^2+x - x-6/x+1. \n" ); document.write( "
Algebra.Com's Answer #175933 by algebrapro18(249)![]() ![]() ![]() You can put this solution on YOUR website! Solve \r \n" ); document.write( "\n" ); document.write( "First we need to factor the denominator of the above problem. \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "= \r \n" ); document.write( "\n" ); document.write( "Now we find a common denominator. It will be x(x+1). Now multiply the origonal equation by x(x+1) and simplify. \r \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( "Now we solve for x. \n" ); document.write( "x+5 = 1 - (x)(x-6) \n" ); document.write( "x+5 = 1 - x^2+6x \n" ); document.write( "x^2-6x+x+5-1 = 0 \n" ); document.write( "x^2-5x+4 = 0 \n" ); document.write( "(x-4)(x-1) = 0 \n" ); document.write( "x = 4 and x = 1 \n" ); document.write( " |