document.write( "Question 241498: Solve the following equation using the Quadratic Formula.
\n" ); document.write( "2x²-11x-2=0
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Algebra.Com's Answer #176885 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
2x²-11x-2=0
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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 \"2x%5E2%2B-11x%2B-2+=+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=%28-11%29%5E2-4%2A2%2A-2=137\".
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\n" ); document.write( " Discriminant d=137 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--11%2B-sqrt%28+137+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-11%29%2Bsqrt%28+137+%29%29%2F2%5C2+=+5.67617497767991\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-11%29-sqrt%28+137+%29%29%2F2%5C2+=+-0.176174977679906\"
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\n" ); document.write( " Quadratic expression \"2x%5E2%2B-11x%2B-2\" can be factored:
\n" ); document.write( " \"2x%5E2%2B-11x%2B-2+=+%28x-5.67617497767991%29%2A%28x--0.176174977679906%29\"
\n" ); document.write( " Again, the answer is: 5.67617497767991, -0.176174977679906.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+2%2Ax%5E2%2B-11%2Ax%2B-2+%29\"

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\n" ); document.write( "= (11/4) ħsqrt(137)/4\r
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