document.write( "Question 470223: sum of the squares of three consecutive odd numbers is 2531.find the numbers. \n" ); document.write( "

Algebra.Com's Answer #322551 by Tatiana_Stebko(1539) $\"\"$ $\"About$

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Let $\"x\"$ is the odd number, next odd number is $\"%28x%2B2%29\"$ , odd number before $\"x\"$ is $\"%28x-2%29\"$ .
\n" ); document.write( "The sum of the squares of three consecutive odd numbers is $\"%28x-2%29%5E2%2Bx%5E2%2B%28x%2B2%29%5E2=2531\"$
\n" ); document.write( "Use formula $\"%28a%2B-b%29%5E2=a%5E2%2B-2ab%2Bb%5E2\"$
\n" ); document.write( " $\"x%5E2-4x%2B4%2Bx%5E2%2Bx%5E2%2B4x%2B4=2531\"$
\n" ); document.write( " $\"3x%5E2=2531-8\"$
\n" ); document.write( " $\"3x%5E2=2523\"$
\n" ); document.write( " $\"x%5E2=2523%2F3\"$
\n" ); document.write( " $\"x%5E2=841\"$
\n" ); document.write( " $\"x1=sqrt%28841%29\"$ or $\"x2=-sqrt%28841%29\"$
\n" ); document.write( " $\"x1=29\"$ or $\"x2=-29\"$
\n" ); document.write( "If $\"x=29\"$ the number
\n" ); document.write( "The next odd number is $\"29%2B2=31\"$ , the third odd number is $\"29-2=27\"$
\n" ); document.write( "If $\"x=-29\"$ the number
\n" ); document.write( "The next odd number is $\"-29%2B2=-27\"$ , the third odd number is $\"-29-2=-31\"$
\n" ); document.write( "Answer: (27,29,31) and (-31,-29,-27) \n" ); document.write( "

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