document.write( "Question 998784: Find three consecutive positive odd numbers such that the sum of the square of the two smaller numbers is 33 more than the square of the largest number. \n" ); document.write( "

Algebra.Com's Answer #616531 by macston(5194) $\"\"$ $\"About$

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\n" ); document.write( "N=smallest integer, N+2=middle integer, N+4=largest integer
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\n" ); document.write( " $\"N%5E2%2B%28N%2B2%29%5E2=%28N%2B4%29%5E2%2B33\"$
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\n" ); document.write( " $\"N%5E2-4N-45=0\"$
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\n" ); document.write( " $\"%28N-9%29%28N%2B5%29=0\"$
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\n" ); document.write( " $\"N-9=0\"$ $\"OR\"$ $\"N%2B5=0\"$
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\n" ); document.write( " $\"N=9\"$ $\"OR\"$ $\"N=-5\"$
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\n" ); document.write( "ANSWER: 9 is the only positive result.
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\n" ); document.write( "CHECK:
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\n" ); document.write( " $\"9%5E2%2B%289%2B2%29%5E2=%289%2B4%29%5E2%2B33\"$
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\n" ); document.write( " $\"81%2B121=169%2B33\"$
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\n" ); document.write( " $\"202=202\"$
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