document.write( "Question 40907: FIND THE ZEROS\r
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Algebra.Com's Answer #26299 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
x^2+2x-63=y \r
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Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation $\"ax%5E2%2Bbx%2Bc=0\"$ (in our case $\"1x%5E2%2B2x%2B-63+=+0\"$ ) 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.
\n" ); document.write( "
\n" ); document.write( " First, we need to compute the discriminant $\"b%5E2-4ac\"$ : $\"b%5E2-4ac=%282%29%5E2-4%2A1%2A-63=256\"$ .
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\n" ); document.write( " Discriminant d=256 is greater than zero. That means that there are two solutions: $\"+x%5B12%5D+=+%28-2%2B-sqrt%28+256+%29%29%2F2%5Ca\"$ .
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\n" ); document.write( " $\"x%5B1%5D+=+%28-%282%29%2Bsqrt%28+256+%29%29%2F2%5C1+=+7\"$
\n" ); document.write( " $\"x%5B2%5D+=+%28-%282%29-sqrt%28+256+%29%29%2F2%5C1+=+-9\"$
\n" ); document.write( "
\n" ); document.write( " Quadratic expression $\"1x%5E2%2B2x%2B-63\"$ can be factored:
\n" ); document.write( " $\"1x%5E2%2B2x%2B-63+=+1%28x-7%29%2A%28x--9%29\"$
\n" ); document.write( " Again, the answer is: 7, -9.\n" ); document.write( "Here's your graph:
\n" ); document.write( " $\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B2%2Ax%2B-63+%29\"$

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\n" ); document.write( "\n" ); document.write( "x^2-x-72=y
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Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation $\"ax%5E2%2Bbx%2Bc=0\"$ (in our case $\"1x%5E2%2B-1x%2B-72+=+0\"$ ) has the following solutons:
\n" ); document.write( "
\n" ); document.write( " $\"x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"$
\n" ); document.write( "
\n" ); document.write( " For these solutions to exist, the discriminant $\"b%5E2-4ac\"$ should not be a negative number.
\n" ); document.write( "
\n" ); document.write( " First, we need to compute the discriminant $\"b%5E2-4ac\"$ : $\"b%5E2-4ac=%28-1%29%5E2-4%2A1%2A-72=289\"$ .
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\n" ); document.write( " Discriminant d=289 is greater than zero. That means that there are two solutions: $\"+x%5B12%5D+=+%28--1%2B-sqrt%28+289+%29%29%2F2%5Ca\"$ .
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\n" ); document.write( " $\"x%5B1%5D+=+%28-%28-1%29%2Bsqrt%28+289+%29%29%2F2%5C1+=+9\"$
\n" ); document.write( " $\"x%5B2%5D+=+%28-%28-1%29-sqrt%28+289+%29%29%2F2%5C1+=+-8\"$
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\n" ); document.write( " Quadratic expression $\"1x%5E2%2B-1x%2B-72\"$ can be factored:
\n" ); document.write( " $\"1x%5E2%2B-1x%2B-72+=+1%28x-9%29%2A%28x--8%29\"$
\n" ); document.write( " Again, the answer is: 9, -8.\n" ); document.write( "Here's your graph:
\n" ); document.write( " $\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B-1%2Ax%2B-72+%29\"$

\n" ); document.write( "\n" ); document.write( "Hope this helps.
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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