document.write( "Question 569574: Find Y in the following equation: \"y=2%28x-2%29%5E2+%2B+9\"
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Algebra.Com's Answer #367367 by JBarnum(2146)\"\" \"About 
You can put this solution on YOUR website!
\"y=2%28x-2%29%5E2+%2B+9\"
\n" ); document.write( "\"y=2%28x%5E2-4x-4%29+%2B+9\"
\n" ); document.write( "\"y=2x%5E2-8x-8+%2B+9\"
\n" ); document.write( "\"y=2x%5E2-8x%2B1\"
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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%2B-8x%2B1+=+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=%28-8%29%5E2-4%2A2%2A1=56\".
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\n" ); document.write( " Discriminant d=56 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--8%2B-sqrt%28+56+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-8%29%2Bsqrt%28+56+%29%29%2F2%5C2+=+3.87082869338697\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-8%29-sqrt%28+56+%29%29%2F2%5C2+=+0.129171306613029\"
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\n" ); document.write( " Quadratic expression \"2x%5E2%2B-8x%2B1\" can be factored:
\n" ); document.write( " \"2x%5E2%2B-8x%2B1+=+2%28x-3.87082869338697%29%2A%28x-0.129171306613029%29\"
\n" ); document.write( " Again, the answer is: 3.87082869338697, 0.129171306613029.\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-8%2Ax%2B1+%29\"

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