document.write( "Question 774096: solve and check your answer\r
\n" ); document.write( "\n" ); document.write( "2/x-1+1=4/x^2-1 \n" ); document.write( "
Algebra.Com's Answer #472084 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Assume the problem is
\n" ); document.write( "\"2%2F%28%28x-1%29%29\" + 1 = \"4%2F%28%28x%5E2-1%29%29\"
\n" ); document.write( "Factor the 2nd denominator, this will be the common denominator
\n" ); document.write( "\"2%2F%28%28x-1%29%29\" + 1 = \"4%2F%28%28x-1%29%28x%2B1%29%29\"
\n" ); document.write( "multiply by the common denominator and you have
\n" ); document.write( "2(x+1) +(x+1)(x-1) = 4
\n" ); document.write( "2x + 2 + x^2 - 1 = 4
\n" ); document.write( "combine on the left to form a quadratic equation
\n" ); document.write( "x^2 + 2x + 2 - 1 - 4 = 0
\n" ); document.write( "x^2 + 2x - 3 = 0
\n" ); document.write( "factors to
\n" ); document.write( "(x+3)(x-1) = 0
\n" ); document.write( "Two solutions
\n" ); document.write( "x = 1
\n" ); document.write( "x = -3
\n" ); document.write( ":
\n" ); document.write( "You can check both of these in the original problem, you should note that
\n" ); document.write( "x = 1 is not a valid solution, it results in a denominator of 0
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