document.write( "Question 651749: y=-x^2-4x+5 \n" ); document.write( "
Algebra.Com's Answer #407891 by asuar010(338)\"\" \"About 
You can put this solution on YOUR website!
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"-1x%5E2%2B-4x%2B5+=+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=%28-4%29%5E2-4%2A-1%2A5=36\".
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\n" ); document.write( " Discriminant d=36 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--4%2B-sqrt%28+36+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-4%29%2Bsqrt%28+36+%29%29%2F2%5C-1+=+-5\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-4%29-sqrt%28+36+%29%29%2F2%5C-1+=+1\"
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\n" ); document.write( " Quadratic expression \"-1x%5E2%2B-4x%2B5\" can be factored:
\n" ); document.write( " \"-1x%5E2%2B-4x%2B5+=+-1%28x--5%29%2A%28x-1%29\"
\n" ); document.write( " Again, the answer is: -5, 1.\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-4%2Ax%2B5+%29\"
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