document.write( "Question 170625This question is from textbook Algebra structure and method book one
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document.write( ": Solve the following problem: The sum of the squares of two consecutive positve even integers is 340. Find the integers. \n" );
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Algebra.Com's Answer #125935 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Solve the following problem: The sum of the squares of two consecutive positve even integers is 340. Find the integers. \n" ); document.write( "------------- \n" ); document.write( "x^2 + (x+2)^2 = 340 \n" ); document.write( "x^2 + x^2 + 4x +4 = 340 \n" ); document.write( "2x^2 + 4x + 4 = 340 \n" ); document.write( "x^2 + 2x -168 = 0 \n" ); document.write( "(x-12)*(x+14) = 0 \n" ); document.write( "x = 12 \n" ); document.write( "x = -14 \n" ); document.write( "It's 12 and 14, since it said positive. \n" ); document.write( "12*12 + 14*14 = 340, so it's correct. \n" ); document.write( " |