document.write( "Question 142668: The sum of a number and its square is 156. What is the number? \n" ); document.write( "

Algebra.Com's Answer #103836 by bebedeeb(7) $\"\"$ $\"About$

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to start, let n = the number
\n" ); document.write( "and, let $\"n%5E2\"$ = its square
\n" ); document.write( "so $\"n%5E2%2Bn=156\"$
\n" ); document.write( "put this quadratic equation in to standard form
\n" ); document.write( " $\"n%5E2%2Bn-156=0\"$
\n" ); document.write( "now factor it out
\n" ); document.write( " $\"%28n-12%29%28n%2B13%29=0\"$
\n" ); document.write( "so n=12 or n=-13
\n" ); document.write( "lets see:
\n" ); document.write( " $\"12%5E2%2B12=156\"$ CHECK
\n" ); document.write( " $\"-13%5E2%2B%28-13%29=156\"$ CHECK
\n" ); document.write( " \n" ); document.write( "

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