document.write( "Question 1114873: The square of the largest of three consecutive integers is 320 less than the sum of the squares of the two smaller integers. find the three integers \n" ); document.write( "

Algebra.Com's Answer #729789 by josgarithmetic(39617) $\"\"$ $\"About$

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Integers n-1, n, n+1\r
\n" ); document.write( "\n" ); document.write( " $\"%28n%2B1%29%5E2=%28n-1%29%5E2%2Bn%5E2-320\"$ \r
\n" ); document.write( "\n" ); document.write( "-\r
\n" ); document.write( "\n" ); document.write( " $\"n%5E2%2B2n%2B1=n%5E2-2n%2B1%2Bn%5E2-320\"$
\n" ); document.write( " $\"2n%2B1=-2n%2B1%2Bn%5E2-320\"$
\n" ); document.write( " $\"0=-4n%2Bn%5E2-320\"$
\n" ); document.write( " $\"n%5E2-4n-320=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"n=%284%2B-+36%29%2F2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"system%28n=20%2C+or%2C+n=-16%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "One or both of these should work:
\n" ); document.write( "-17, -16, -15
\n" ); document.write( "OR
\n" ); document.write( "19, 20, 21.
\n" ); document.write( " \n" ); document.write( "

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