document.write( "Question 500575: The sum of the squares of two consecutive positive integers is 481. Find the integers. \n" ); document.write( "
Algebra.Com's Answer #338202 by ankor@dixie-net.com(22740)\"\" \"About 
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The sum of the squares of two consecutive positive integers is 481. Find the integers.
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\n" ); document.write( "x^2 + (x+1)^2 = 481
\n" ); document.write( "FOIL
\n" ); document.write( "x^2 + x^2 + 2x + 1 = 481
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\n" ); document.write( "2x^2 + 2x + 1 - 481 = 0
\n" ); document.write( "2x^2 + 2x - 480 = 0
\n" ); document.write( "simplify, divide by 2
\n" ); document.write( "x^2 + x - 240 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x+16)(x-15) = 0
\n" ); document.write( "positive solution
\n" ); document.write( "x = 15 & 16 are the integers
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\n" ); document.write( "See if that works
\n" ); document.write( "15^2 + 16^2 =
\n" ); document.write( "225 + 256 = 481 \n" ); document.write( "
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