document.write( "Question 575593: Hey there, how would u work this out \r
\n" ); document.write( "\n" ); document.write( "X. 2
\n" ); document.write( "- - --- = 1
\n" ); document.write( "2. X+1
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Algebra.Com's Answer #369552 by JBarnum(2146)\"\" \"About 
You can put this solution on YOUR website!
ok im going to guess u meant:
\n" ); document.write( "\"%28x%2F2%29-%28%282%29%2F%28x%2B1%29%29=1\"
\n" ); document.write( "instead of
\n" ); document.write( "x.2/(2.x+1)=1
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\n" ); document.write( "\"%28x%2F2%29-%28%282%29%2F%28x%2B1%29%29=1\"
\n" ); document.write( "multiply by a number that will eliminate the denominators accross the equation
\n" ); document.write( "in this case the number is \"2%28x%2B1%29\"
\n" ); document.write( "\"%282%28x%2B1%29%28x%2F2%29%29-%282%28x%2B1%29%29%28%282%29%2F%28x%2B1%29%29=1\" use cross cancelation when distributing
\n" ); document.write( "\"%28x%2B1%29%28x%29-4=1\" distribute the x
\n" ); document.write( "\"x%5E2%2Bx-4=1\" put in quadratic formula
\n" ); document.write( "\"x%5E2%2Bx-5=0\"
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"1x%5E2%2B1x%2B-5+=+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%2A1%2A-5=21\".
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\n" ); document.write( " Discriminant d=21 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-1%2B-sqrt%28+21+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%281%29%2Bsqrt%28+21+%29%29%2F2%5C1+=+1.79128784747792\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%281%29-sqrt%28+21+%29%29%2F2%5C1+=+-2.79128784747792\"
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\n" ); document.write( " Quadratic expression \"1x%5E2%2B1x%2B-5\" can be factored:
\n" ); document.write( " \"1x%5E2%2B1x%2B-5+=+1%28x-1.79128784747792%29%2A%28x--2.79128784747792%29\"
\n" ); document.write( " Again, the answer is: 1.79128784747792, -2.79128784747792.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B1%2Ax%2B-5+%29\"

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