document.write( "Question 758601: 1. If the product of two consecutive odd integers is 783, what is the sum of their squares?
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document.write( "2. The difference between the squares of two consecutive positive integers is 2013. What is the larger integer?
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Algebra.Com's Answer #461582 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 1. If the product of two consecutive odd integers is 783, what is the sum of their squares? \n" ); document.write( "1st: 2x-1 \n" ); document.write( "2nd: 2x+1 \n" ); document.write( "--- \n" ); document.write( "Equation: \n" ); document.write( "4x^2-1 = 783 \n" ); document.write( "4x^2 = 784 \n" ); document.write( "x^2 = 196 \n" ); document.write( "x = 14 \n" ); document.write( "--- \n" ); document.write( "1st: 2x-1 = 27 \n" ); document.write( "2nd: 2x+1 = 29 \n" ); document.write( "==================================== \n" ); document.write( "2. The difference between the squares of two consecutive positive integers is 2013. What is the larger integer? \n" ); document.write( "1st: x \n" ); document.write( "2nd: x+1 \n" ); document.write( "---- \n" ); document.write( "Equation: \n" ); document.write( "(x+1)^2 - x^2 = 2013\r \n" ); document.write( "\n" ); document.write( "2x+1 = 2013 \n" ); document.write( "2x = 2012 \n" ); document.write( "x = 1006 \n" ); document.write( "------ \n" ); document.write( "x+1 = 1007 \n" ); document.write( "------------------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "======================== \n" ); document.write( " |