SOLUTION: The product of two consecutive even integers is 46 less than 9 times their sum

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Question 917795: The product of two consecutive even integers is 46 less than 9 times their sum
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
consecutive even integers: x, (x+2)

x(x+2) = 9(x + (x+2)) - 46
x(x+2) = 9(2x+2) - 46
x^2 + 2x = 18x - 28
x^2 - 16x + 28 = 0
(x - 2)(x - 14) = 0

The integers are 2 and 4 or 14 and 16.