document.write( "Question 64042: Help.... I am having a real hard time with this one. Any help would be greatly appreciated.\r
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Algebra.Com's Answer #44670 by sarahschober(35)\"\" \"About 
You can put this solution on YOUR website!
\"f%28x%29=2%28x-4%29%5E2+-3\"
\n" ); document.write( "\"f%28x%29=2%28x%5E2-8x%2B16%29-3\"
\n" ); document.write( "\"f%28x%29=2x%5E2-16x%2B32-3\"
\n" ); document.write( "\"f%28x%29=2x%5E2-16x%2B29\"
\n" ); document.write( "then...
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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 \"2x%5E2%2B-16x%2B29+=+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=%28-16%29%5E2-4%2A2%2A29=24\".
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\n" ); document.write( " Discriminant d=24 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--16%2B-sqrt%28+24+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-16%29%2Bsqrt%28+24+%29%29%2F2%5C2+=+5.22474487139159\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-16%29-sqrt%28+24+%29%29%2F2%5C2+=+2.77525512860841\"
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\n" ); document.write( " Quadratic expression \"2x%5E2%2B-16x%2B29\" can be factored:
\n" ); document.write( " \"2x%5E2%2B-16x%2B29+=+%28x-5.22474487139159%29%2A%28x-2.77525512860841%29\"
\n" ); document.write( " Again, the answer is: 5.22474487139159, 2.77525512860841.\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%2B-16%2Ax%2B29+%29\"
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