document.write( "Question 853650: Solve using square and diamond or quadratic equation
\n" ); document.write( "\"+20x%5E2-30x=2x%2B45+\"
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Algebra.Com's Answer #514168 by LinnW(1048)\"\" \"About 
You can put this solution on YOUR website!
\"+20x%5E2-30x=2x%2B45+\"
\n" ); document.write( "Add -2x to each side
\n" ); document.write( "\"+20x%5E2-32x=45+\"
\n" ); document.write( "Add -45 to each side
\n" ); document.write( "\"+20x%5E2-32x-45=0+\"
\n" ); document.write( "Below is the quadratic solution.
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"20x%5E2%2B-32x%2B-45+=+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=%28-32%29%5E2-4%2A20%2A-45=4624\".
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\n" ); document.write( " Discriminant d=4624 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--32%2B-sqrt%28+4624+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-32%29%2Bsqrt%28+4624+%29%29%2F2%5C20+=+2.5\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-32%29-sqrt%28+4624+%29%29%2F2%5C20+=+-0.9\"
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\n" ); document.write( " Quadratic expression \"20x%5E2%2B-32x%2B-45\" can be factored:
\n" ); document.write( " \"20x%5E2%2B-32x%2B-45+=+20%28x-2.5%29%2A%28x--0.9%29\"
\n" ); document.write( " Again, the answer is: 2.5, -0.9.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+20%2Ax%5E2%2B-32%2Ax%2B-45+%29\"
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