document.write( "Question 101020: x(x+1)=14 \n" ); document.write( "

Algebra.Com's Answer #73527 by edjones(8007) $\"\"$ $\"About$

You can put this solution on YOUR website!
x(x+1)=14
\n" ); document.write( "x^2+x=14
\n" ); document.write( "x^2+x-14=0
\n" ); document.write( "Ed
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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 $\"1x%5E2%2B1x%2B-14+=+0\"$ ) 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 $\"b%5E2-4ac\"$ : $\"b%5E2-4ac=%281%29%5E2-4%2A1%2A-14=57\"$ .
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\n" ); document.write( " Discriminant d=57 is greater than zero. That means that there are two solutions: $\"+x%5B12%5D+=+%28-1%2B-sqrt%28+57+%29%29%2F2%5Ca\"$ .
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\n" ); document.write( " $\"x%5B1%5D+=+%28-%281%29%2Bsqrt%28+57+%29%29%2F2%5C1+=+3.27491721763537\"$
\n" ); document.write( " $\"x%5B2%5D+=+%28-%281%29-sqrt%28+57+%29%29%2F2%5C1+=+-4.27491721763537\"$
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\n" ); document.write( " Quadratic expression $\"1x%5E2%2B1x%2B-14\"$ can be factored:
\n" ); document.write( " $\"1x%5E2%2B1x%2B-14+=+%28x-3.27491721763537%29%2A%28x--4.27491721763537%29\"$
\n" ); document.write( " Again, the answer is: 3.27491721763537, -4.27491721763537.\n" ); document.write( "Here's your graph:
\n" ); document.write( " $\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B1%2Ax%2B-14+%29\"$

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