document.write( "Question 951880: Find 3 consecutive positive odd integers such that the sun of the squares of the first and second integers is equal to the square of the third integer minus 7 \n" ); document.write( "

Algebra.Com's Answer #805591 by CubeyThePenguin(3113) $\"\"$ $\"About$

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3 positive odd integers: (x-2), x, (x+2)\r
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\n" ); document.write( "\n" ); document.write( "(x-2)^2 + x^2 = (x+2)^2 - 7
\n" ); document.write( "(x^2 - 4x + 4) + x^2 = (x^2 + 4x + 4) - 7
\n" ); document.write( "2x^2 - 4x + 4 = x^2 + 4x - 3
\n" ); document.write( "x^2 - 8x + 7 = 0
\n" ); document.write( "(x - 1)(x - 7) = 0\r
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\n" ); document.write( "\n" ); document.write( "The three integers have to all be positive, so x = 7 and the three positive integers are 5, 7, and 9. \n" ); document.write( "

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