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)\"\" \"About 
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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
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