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08-05-2017
Mathematics

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The product of two consecutive even integers is 360. find the integers.

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08-05-2017

Let the integers be x and x + 2, provided x is even.

x(x + 2) = 360
x² + 2x = 360
x² + 2x - 360 = 0
(x - 18)(x + 20) = 0

x = 18, or x = -20
Thus, the integers are: 18 and 20, or -20 and -18

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