document.write( "Question 589191: Find two consecutive integers such that the sum of their squares is 61 \n" ); document.write( "
Algebra.Com's Answer #374748 by AnlytcPhil(1806)\"\" \"About 
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Find two consecutive integers such that the sum of their squares is 61
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document.write( "Smaller consecutive integer = N\r\n" );
document.write( "Larger consecutive integer N+!\r\n" );
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document.write( "sum of their squares is 61\r\n" );
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document.write( "          N² + (N+1)² = 61\r\n" );
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document.write( "      N² + (N+1)(N+1) = 61\r\n" );
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document.write( "N² + (N² + N + N + 1) = 61\r\n" );
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document.write( "     N² + N² + 2N + 1 = 61\r\n" );
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document.write( "         2N² + 2N + 1 = 61\r\n" );
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document.write( "Get 0 on the right:\r\n" );
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document.write( "        2N² + 2N - 60 = 0\r\n" );
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document.write( "Divide every term by 2\r\n" );
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document.write( "         N² +  N - 30 = 0\r\n" );
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document.write( "Factor:\r\n" );
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document.write( "       (N + 6)(N - 5) = 0\r\n" );
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document.write( "Use zero factor principle:\r\n" );
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document.write( "      N + 6 = 0;    N - 5 = 0\r\n" );
document.write( "          N = -6        N = 5\r\n" );
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document.write( "Using answer N = -6\r\n" );
document.write( "Smaller consecutive integer = N = -6\r\n" );
document.write( "Larger consecutive integer N+1 = -6+1 = -5\r\n" );
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document.write( "Using answer N = 5\r\n" );
document.write( "Smaller consecutive integer = N = 5\r\n" );
document.write( "Larger consecutive integer N+1 = 5+1 = 6\r\n" );
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document.write( "Two answers:  -6 and -5,   or 5 and 6\r\n" );
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document.write( "Edwin
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