document.write( "Question 866079: solve this problem.....
\n" ); document.write( "f(x)=2x^2+24x using the quadratic formula \n" ); document.write( "

Algebra.Com's Answer #522066 by richwmiller(17219) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2x%5E2%2B24x%29+\"$
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Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation $\"ax%5E2%2Bbx%2Bc=0\"$ (in our case $\"2x%5E2%2B24x%2B0+=+0\"$ ) 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 $\"b%5E2-4ac\"$ : $\"b%5E2-4ac=%2824%29%5E2-4%2A2%2A0=576\"$ .
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\n" ); document.write( " Discriminant d=576 is greater than zero. That means that there are two solutions: $\"+x%5B12%5D+=+%28-24%2B-sqrt%28+576+%29%29%2F2%5Ca\"$ .
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\n" ); document.write( " $\"x%5B1%5D+=+%28-%2824%29%2Bsqrt%28+576+%29%29%2F2%5C2+=+0\"$
\n" ); document.write( " $\"x%5B2%5D+=+%28-%2824%29-sqrt%28+576+%29%29%2F2%5C2+=+-12\"$
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\n" ); document.write( " Quadratic expression $\"2x%5E2%2B24x%2B0\"$ can be factored:
\n" ); document.write( " $\"2x%5E2%2B24x%2B0+=+2%28x-0%29%2A%28x--12%29\"$
\n" ); document.write( " Again, the answer is: 0, -12.\n" ); document.write( "Here's your graph:
\n" ); document.write( " $\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+2%2Ax%5E2%2B24%2Ax%2B0+%29\"$

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