document.write( "Question 175091: if a number is added to its square, the result is 56. Find teh number \n" ); document.write( "

Algebra.Com's Answer #130208 by Earlsdon(6294) $\"\"$ $\"About$

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Let the number = n.
\n" ); document.write( " $\"n%5E2%2Bn+=+56\"$ Subtract 56 from both sides.
\n" ); document.write( " $\"n%5E2%2Bn-56+=+0\"$ Solve by factoring.
\n" ); document.write( " $\"%28n-7%29%28n%2B8%29+=+0\"$
\n" ); document.write( " $\"n-7+=+0\"$ or $\"n%2B8+=+0\"$ so...
\n" ); document.write( " $\"highlight%28n+=+7%29\"$ or $\"highlight%28n+=+-8%29\"$
\n" ); document.write( "There are two answers to this problem: 7 and -8
\n" ); document.write( "Check:
\n" ); document.write( " $\"7%5E2%2B7+=+49%2B7\"$ = $\"56\"$
\n" ); document.write( " $\"%28-8%29%5E2+%2B+%28-8%29+=+64+%2B+%28-8%29\"$ = $\"56\"$ \n" ); document.write( "

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