document.write( "Question 731262: Factor:
\n" ); document.write( "n^2+n-56 \n" ); document.write( "

Algebra.Com's Answer #447052 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+n%5E2+%2B+n+-+56+\"$
\n" ); document.write( "You can try to complete the square
\n" ); document.write( "first set the equation equal to zero
\n" ); document.write( " $\"+n%5E2+%2B+n+-+56+=+0+\"$
\n" ); document.write( "Subtract $\"+56+\"$ from both sides
\n" ); document.write( " $\"+n%5E2+%2B+n++=+56+\"$
\n" ); document.write( "Take 1/2 of the co-efficient of $\"+x+\"$
\n" ); document.write( "square it and add it to both sides
\n" ); document.write( " $\"+n%5E2+%2B+n++%2B+%281%2F2%29%5E2+=+%281%2F2%29%5E2+%2B+56+\"$
\n" ); document.write( " $\"+n%5E2+%2B+n++%2B+1%2F4+=+1%2F4+%2B+224%2F4+\"$
\n" ); document.write( " $\"+n%5E2+%2B+n++%2B+1%2F4+=+225%2F4+\"$
\n" ); document.write( " $\"+%28+n+%2B+1%2F2+%29%5E2+=+%2815%2F2%29%5E2+\"$
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( " $\"+n+%2B+1%2F2+=+15%2F2+\"$
\n" ); document.write( " $\"+n+-+14%2F2++=+0+\"$
\n" ); document.write( " $\"+n+-+7+=+0+\"$
\n" ); document.write( "-------------
\n" ); document.write( "also,
\n" ); document.write( " $\"+n+%2B+1%2F2+=+-15%2F2+\"$
\n" ); document.write( " $\"+n+%2B+16%2F2++=+0+\"$
\n" ); document.write( " $\"+n+%2B+8+=+0+\"$
\n" ); document.write( "-------------
\n" ); document.write( " $\"+%28+n-7+%29%2A%28+n%2B8+%29+=+0+\"$
\n" ); document.write( " $\"+n%5E2+%2B+n+-+56++=+%28+n-7+%29%2A%28+n%2B8+%29+\"$
\n" ); document.write( " \r
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