document.write( "Question 204793: Solve x^2+18x+32+=226 \n" ); document.write( "
Algebra.Com's Answer #154663 by edjones(8007)\"\" \"About 
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x^2+18x+32=226
\n" ); document.write( "x^2+18x-194=0
\n" ); document.write( "x=-9+5sqrt(11), x=-9-5sqrt(11) See below.
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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%2B18x%2B-194+=+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=%2818%29%5E2-4%2A1%2A-194=1100\".
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\n" ); document.write( " Discriminant d=1100 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-18%2B-sqrt%28+1100+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%2818%29%2Bsqrt%28+1100+%29%29%2F2%5C1+=+7.583123951777\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%2818%29-sqrt%28+1100+%29%29%2F2%5C1+=+-25.583123951777\"
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\n" ); document.write( " Quadratic expression \"1x%5E2%2B18x%2B-194\" can be factored:
\n" ); document.write( " \"1x%5E2%2B18x%2B-194+=+1%28x-7.583123951777%29%2A%28x--25.583123951777%29\"
\n" ); document.write( " Again, the answer is: 7.583123951777, -25.583123951777.\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%2B18%2Ax%2B-194+%29\"
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