document.write( "Question 475580: How do you solve: 2x/1-x + x+3/x^2-1 = 1 \n" ); document.write( "
Algebra.Com's Answer #326140 by unlockmath(1688)![]() ![]() You can put this solution on YOUR website! Hello, \n" ); document.write( "Let's rewrite this first as: \n" ); document.write( " -2x/x-1 + x+3/(x-1)(x+1) = 1 \n" ); document.write( "Now multiply this by (x-1)(x+1)to get: \n" ); document.write( "-2x(x+1)+x+3=(x-1)(x+1) \n" ); document.write( "Expand this out to: \n" ); document.write( "-2x^2-2x+x+3=x^2-1 \n" ); document.write( "Combine like terms to get: \n" ); document.write( "3x^2+x-4=0 \n" ); document.write( "Factor \n" ); document.write( "(3x+4)(x-1)=0 \n" ); document.write( "Solve for x \n" ); document.write( "x=1 and x=-4/3 \n" ); document.write( "x=1 is extraneous so the only valid answer is -4/3 \n" ); document.write( "Make sense? \n" ); document.write( "RJ \n" ); document.write( "www.math-unlock.com \n" ); document.write( " |