document.write( "Question 181199: I need to solve the equation: 2n2-7n-3=0 \n" ); document.write( "
Algebra.Com's Answer #135845 by Mathtut(3670)\"\" \"About 
You can put this solution on YOUR website!
\"2n%5E2-7n-3=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-7x%2B-3+=+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=%28-7%29%5E2-4%2A2%2A-3=73\".
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\n" ); document.write( " Discriminant d=73 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--7%2B-sqrt%28+73+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-7%29%2Bsqrt%28+73+%29%29%2F2%5C2+=+3.88600093632938\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-7%29-sqrt%28+73+%29%29%2F2%5C2+=+-0.386000936329383\"
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\n" ); document.write( " Quadratic expression \"2x%5E2%2B-7x%2B-3\" can be factored:
\n" ); document.write( " \"2x%5E2%2B-7x%2B-3+=+%28x-3.88600093632938%29%2A%28x--0.386000936329383%29\"
\n" ); document.write( " Again, the answer is: 3.88600093632938, -0.386000936329383.\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-7%2Ax%2B-3+%29\"
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