document.write( "Question 1037586: Three consecutive odd integers are such that the square of the third integer is 153 less than the sum of the squares of the first two. One solution is -11,-9, and -7. Find three other consecutive odd integers that also satisfy the given condition. \n" ); document.write( "

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Three consecutive odd integers are such that the square of the third integer is 153 less than the sum of the squares of the first two. One solution is -11,-9, and -7. Find three other consecutive odd integers that also satisfy the given condition.
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\n" ); document.write( "(n-2)^2 + n^2 = (n+2)^2 + 153
\n" ); document.write( "2n^2 - 4n + 4 = n^2 + 4n + 157
\n" ); document.write( "n^2 - 8n - 153 = 0
\n" ); document.write( "(n - 17)*(n + 9) = 0
\n" ); document.write( "--> 15, 17 & 19
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