document.write( "Question 5190: \"x%5E2%2F%28x%5E2-4%29+=+x%2F%28x%2B2%29+-+2x%2F%282-x%29\" \n" ); document.write( "
Algebra.Com's Answer #2636 by ichudov(507)\"\" \"About 
You can put this solution on YOUR website!
\"x%5E2%2F%28x%5E2-4%29+=+x%2F%28x%2B2%29+-+2x%2F%282-x%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2F%28x%5E2-4%29+=+%28x%2A%282-x%29-2x%2A%28x%2B2%29%29%2F%28x%2B2%29%2F%28x-2%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2F%28x%5E2-4%29+=+%28x%2A%282-x%29-2x%2A%28x%2B2%29%29%2F%28x%5E2-4%29\"\r
\n" ); document.write( "\n" ); document.write( "Remove x^2-4 from both sides, being mindful that it cannot be zero, or that x cannot be +2 or - 2. \r
\n" ); document.write( "\n" ); document.write( "\"x%5E2+=+x%282-x%29+-+2x%28x%2B2%29\"
\n" ); document.write( "\"x%5E2+=+2x-x%5E2+-+2x%5E2+-+4x\"\r
\n" ); document.write( "\n" ); document.write( "\"4x%5E2+%2B2x+=+0\"\r
\n" ); document.write( "\n" ); document.write( "\"4x%5E2%2Bx+=+0\"\r
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Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"4x%5E2%2B1x%2B0+=+0\") has the following solutons:
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\n" ); document.write( " \"x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"
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\n" ); document.write( " For these solutions to exist, the discriminant \"b%5E2-4ac\" should not be a negative number.
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\n" ); document.write( " First, we need to compute the discriminant \"b%5E2-4ac\": \"b%5E2-4ac=%281%29%5E2-4%2A4%2A0=1\".
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\n" ); document.write( " Discriminant d=1 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-1%2B-sqrt%28+1+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%281%29%2Bsqrt%28+1+%29%29%2F2%5C4+=+0\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%281%29-sqrt%28+1+%29%29%2F2%5C4+=+-0.25\"
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\n" ); document.write( " Quadratic expression \"4x%5E2%2B1x%2B0\" can be factored:
\n" ); document.write( " \"4x%5E2%2B1x%2B0+=+%28x-0%29%2A%28x--0.25%29\"
\n" ); document.write( " Again, the answer is: 0, -0.25.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+4%2Ax%5E2%2B1%2Ax%2B0+%29\"

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\n" ); document.write( "\n" ); document.write( "That's your answer. PLEASE double check my work.
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