document.write( "Question 631039: THE SUM OF THE SQUARES OF TWO CONSECUTIVE NATURAL NUMBER IS 113 .FIND THE NUMBER
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Algebra.Com's Answer #397287 by Edwin McCravy(20059)\"\" \"About 
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document.write( "x = smaller natural number\r\n" );
document.write( "x+1 = larger natural number \r\n" );
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document.write( "       x² + (x+1)² = 113\r\n" );
document.write( "   x² + (x+1)(x+1) = 113\r\n" );
document.write( "  x² + x² + 2x + 1 = 113\r\n" );
document.write( "    2x² + 2x - 112 = 0\r\n" );
document.write( "       x² + x - 56 = 0\r\n" );
document.write( "    (x + 8)(x - 7) = 0\r\n" );
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document.write( "   x + 8 = 0 ;   x - 7 = 0\r\n" );
document.write( "       x = -8;       x = 7\r\n" );
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document.write( "Since we are told the answers are natural numbers,\r\n" );
document.write( "we know that they are positive integers, so we\r\n" );
document.write( "discard the -8 and \r\n" );
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document.write( "x = smaller natural number = 7\r\n" );
document.write( "x+1 = larger natural number = 7+1 = 8\r\n" );
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document.write( "Edwin
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