document.write( "Question 1051019: The sum of the squares of 3 consecutive odd integers is 363. Find the odd integers. \n" ); document.write( "

Algebra.Com's Answer #666610 by Fombitz(32388) $\"\"$ $\"About$

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The three odd integers are $\"N-2\"$ , $\"N\"$ , and $\"N%2B2\"$ .
\n" ); document.write( " $\"%28N-2%29%5E2%2BN%5E2%2B%28N%2B2%29%5E2=363\"$
\n" ); document.write( " $\"N%5E2-4N%2B4%2BN%5E2%2BN%5E2%2B4N%2B4=363\"$
\n" ); document.write( " $\"3N%5E2%2B8=363\"$
\n" ); document.write( " $\"3N%5E2=359\"$
\n" ); document.write( "359 is not divisible by 3 so there is no solution.
\n" ); document.write( "The closest is 371 which is the sum of the squares of 9,11, and 13.\r
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