document.write( "Question 876700: What is the largest of 3 consecutive positive even integers such that the product of the first and second is 8 less than 11 times the third? \n" ); document.write( "

Algebra.Com's Answer #528961 by LinnW(1048) $\"\"$ $\"About$

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x = the first number
\n" ); document.write( "x + 1 = the second number
\n" ); document.write( "x + 2 = the third number
\n" ); document.write( "(x)*(x + 1) = 11*(x + 2) - 8
\n" ); document.write( "x^2 + x = 11x + 22 -8
\n" ); document.write( "x^2 + x = 11x + 14
\n" ); document.write( "subtract 11x from each side
\n" ); document.write( "x^2 -10x = 14
\n" ); document.write( "add -14 to each side
\n" ); document.write( "x^2 -10x -14 = 0
\n" ); document.write( "There is no integer solution.
\n" ); document.write( " \n" ); document.write( "

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