document.write( "Question 256251: solutions for x2 + 10x + 1 = -12 + 2x \n" ); document.write( "
Algebra.Com's Answer #188414 by Greenfinch(383)\"\" \"About 
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I am assuming the equation is x^2 + 10x +1 = 2x - 12
\n" ); document.write( "If it is then x^2 + 8x + 13 = 0
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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%2B8x%2B13+=+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=%288%29%5E2-4%2A1%2A13=12\".
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\n" ); document.write( " Discriminant d=12 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-8%2B-sqrt%28+12+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%288%29%2Bsqrt%28+12+%29%29%2F2%5C1+=+-2.26794919243112\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%288%29-sqrt%28+12+%29%29%2F2%5C1+=+-5.73205080756888\"
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\n" ); document.write( " Quadratic expression \"1x%5E2%2B8x%2B13\" can be factored:
\n" ); document.write( " \"1x%5E2%2B8x%2B13+=+1%28x--2.26794919243112%29%2A%28x--5.73205080756888%29\"
\n" ); document.write( " Again, the answer is: -2.26794919243112, -5.73205080756888.\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%2B8%2Ax%2B13+%29\"
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