document.write( "Question 939759: For the problem given below, set up an equation and solve. Show all work (including what your variables represent), detailing each step, to ensure that I am able to follow your work. Clearly state your solution.\r
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document.write( "If the product of two consecutive positive even integers is equal to 168, then what are the integers. \n" );
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Algebra.Com's Answer #572701 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let the first even integer be x\r \n" ); document.write( "\n" ); document.write( "then the next even integer will be x+2\r \n" ); document.write( "\n" ); document.write( "The product is 168\r \n" ); document.write( "\n" ); document.write( "x(x+2)=168\r \n" ); document.write( "\n" ); document.write( "x^2+2x=168\r \n" ); document.write( "\n" ); document.write( "add 1 to both sides\r \n" ); document.write( "\n" ); document.write( "x^2+2x +1 = 168+1\r \n" ); document.write( "\n" ); document.write( "(x+1)^2= 169\r \n" ); document.write( "\n" ); document.write( "take the square root \n" ); document.write( "x+1 = +/- 13\r \n" ); document.write( "\n" ); document.write( "x= 13-1=12 \n" ); document.write( "Or -13-1=-14\r \n" ); document.write( "\n" ); document.write( "But the number is positive\r \n" ); document.write( "\n" ); document.write( "12 & 14 are the numbers \n" ); document.write( " |