document.write( "Question 513668: How do you solve: x^2+4x=10 \n" ); document.write( "
Algebra.Com's Answer #343085 by Alan3354(69443)\"\" \"About 
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How do you solve: x^2+4x=10
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\n" ); document.write( "Use the quadratic equation.
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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 \"1x%5E2%2B4x%2B-10+=+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=%284%29%5E2-4%2A1%2A-10=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+=+%28-4%2B-sqrt%28+56+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%284%29%2Bsqrt%28+56+%29%29%2F2%5C1+=+1.74165738677394\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%284%29-sqrt%28+56+%29%29%2F2%5C1+=+-5.74165738677394\"
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\n" ); document.write( " Quadratic expression \"1x%5E2%2B4x%2B-10\" can be factored:
\n" ); document.write( " \"1x%5E2%2B4x%2B-10+=+%28x-1.74165738677394%29%2A%28x--5.74165738677394%29\"
\n" ); document.write( " Again, the answer is: 1.74165738677394, -5.74165738677394.\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%2B4%2Ax%2B-10+%29\"

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\n" ); document.write( "x = -2 ± sqrt(14)
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