document.write( "Question 989758: the product of two consecutive integers is 600. find the integers
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Algebra.Com's Answer #609986 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! the product of two consecutive integers is 600. find the integers \n" ); document.write( "-------- \n" ); document.write( "The easy way: \n" ); document.write( " \n" ); document.write( "--> 24 & 25 or -25 & -24 \n" ); document.write( "===================== \n" ); document.write( "The hard way: \n" ); document.write( "x*(x+1) = 600 \n" ); document.write( "x^2 + x - 600 = 0 \n" ); document.write( "Now you have to find a pair of factors of 600 that differ by 1, which was where we started. \n" ); document.write( "(x-24)*(x+25) = 0 \n" ); document.write( "x = 24 --> 24 & 25 \n" ); document.write( "x = -25 --> -25 & -24 \n" ); document.write( " |