document.write( "Question 5195: please help me solve this equation using the quadratic formula\r
\n" ); document.write( "\n" ); document.write( "\"2x%5E2-3x=2\"
\n" ); document.write( "2x*1=2
\n" ); document.write( "2=2
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Algebra.Com's Answer #2630 by ichudov(507)\"\" \"About 
You can put this solution on YOUR website!
First, move 2 to the LEFT side of equation by subtracting 2 from both sides:\r
\n" ); document.write( "\n" ); document.write( "\"2x%5E2-3x-2=0\"\r
\n" ); document.write( "\n" ); document.write( "Solve it using my quadratic equation solver:\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 \"2x%5E2%2B-3x%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=%28-3%29%5E2-4%2A2%2A-2=25\".
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\n" ); document.write( " Discriminant d=25 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--3%2B-sqrt%28+25+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-3%29%2Bsqrt%28+25+%29%29%2F2%5C2+=+2\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-3%29-sqrt%28+25+%29%29%2F2%5C2+=+-0.5\"
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\n" ); document.write( " Quadratic expression \"2x%5E2%2B-3x%2B-2\" can be factored:
\n" ); document.write( " \"2x%5E2%2B-3x%2B-2+=+%28x-2%29%2A%28x--0.5%29\"
\n" ); document.write( " Again, the answer is: 2, -0.5.\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-3%2Ax%2B-2+%29\"
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