document.write( "Question 215690: Please help me solve \"+y+=+-x%5E2+%2B+2x+%2B+3+\"
\n" ); document.write( "I understand how to do the simpler equations, such as y = 2x + 3, but am confused on how to solve for the equations when there are exponents. Thank you!
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Algebra.Com's Answer #162938 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
Please help me solve \"+y+=+-x%5E2+%2B+2x+%2B+3+\"
\n" ); document.write( "I understand how to do the simpler equations, such as y = 2x + 3, but am confused on how to solve for the equations when there are exponents.
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\n" ); document.write( "Do you know about quadratics at all?
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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%2B2x%2B3+=+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=%282%29%5E2-4%2A-1%2A3=16\".
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\n" ); document.write( " Discriminant d=16 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-2%2B-sqrt%28+16+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%282%29%2Bsqrt%28+16+%29%29%2F2%5C-1+=+-1\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%282%29-sqrt%28+16+%29%29%2F2%5C-1+=+3\"
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\n" ); document.write( " Quadratic expression \"-1x%5E2%2B2x%2B3\" can be factored:
\n" ); document.write( " \"-1x%5E2%2B2x%2B3+=+%28x--1%29%2A%28x-3%29\"
\n" ); document.write( " Again, the answer is: -1, 3.\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%2B2%2Ax%2B3+%29\"

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