document.write( "Question 435201: two numbers their sum is 43 and their product is 405 . what are the difference of this two numbers ? \n" ); document.write( "
Algebra.Com's Answer #301253 by Alan3354(69443)\"\" \"About 
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x(43-x) = 405
\n" ); document.write( "\"x%5E2+-+43x+%2B+405+=+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 \"1x%5E2%2B-43x%2B405+=+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=%28-43%29%5E2-4%2A1%2A405=229\".
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\n" ); document.write( " Discriminant d=229 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--43%2B-sqrt%28+229+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-43%29%2Bsqrt%28+229+%29%29%2F2%5C1+=+29.0663729752108\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-43%29-sqrt%28+229+%29%29%2F2%5C1+=+13.9336270247892\"
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\n" ); document.write( " Quadratic expression \"1x%5E2%2B-43x%2B405\" can be factored:
\n" ); document.write( " \"1x%5E2%2B-43x%2B405+=+%28x-29.0663729752108%29%2A%28x-13.9336270247892%29\"
\n" ); document.write( " Again, the answer is: 29.0663729752108, 13.9336270247892.\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%2B-43%2Ax%2B405+%29\"

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