Mathematics
Lexidemers97
16

The product of two positive consecutive even integers is 6 more than three times their sum. find the product of the integers.

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(1) Answers
Chevas948

Let the integers be x and x + 2, provided x is an even value. The product is six more than 3 times their sum. x(x + 2) = 6 + 3(x + (x + 2)) By expanding and simplifying, we get: x² + 2x = 6 + 3(2x + 2) x² + 2x = 6 + 6x + 6 x² + 2x = 12 + 6x x² - 4x - 12 = 0 (x - 6)(x + 2) = 0 x = 6 or x = -2. Thus, your integers are: 6 and 8 or -2 and 0

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