document.write( "Question 631245: The sum of the squares of two consecutive integers is nine less than ten times the sum of the integers. find all such integers \n" ); document.write( "
Algebra.Com's Answer #397456 by dfrazzetto(283)\"\" \"About 
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n, n+1\r
\n" ); document.write( "\n" ); document.write( "n^2 + (n+1)^2 = 10(n + n + 1) - 9\r
\n" ); document.write( "\n" ); document.write( "n^2 + n^2 + 2n + 1 = 10(2n + 1) - 9\r
\n" ); document.write( "\n" ); document.write( "2n^2 + 2n + 1 = 20n + 10 - 9\r
\n" ); document.write( "\n" ); document.write( "2n^2 - 18n + 1 = 1\r
\n" ); document.write( "\n" ); document.write( "2n^2 - 18n = 0\r
\n" ); document.write( "\n" ); document.write( "2n(n - 9) = 0\r
\n" ); document.write( "\n" ); document.write( "n = 0, 9\r
\n" ); document.write( "\n" ); document.write( "answers: 0, 1 and 9, 10\r
\n" ); document.write( "\n" ); document.write( "CHECK:\r
\n" ); document.write( "\n" ); document.write( "0^2 + 1^2 = 10(0+1) - 9
\n" ); document.write( "1 = 1\r
\n" ); document.write( "\n" ); document.write( "9^2 + 10^2 = 10(9 + 10) - 9\r
\n" ); document.write( "\n" ); document.write( "81 + 100 = 10(19) - 9\r
\n" ); document.write( "\n" ); document.write( "181 = 181
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