Find two consecutive off integers such that their product os 35 more than 8 times their sum

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Mathematics

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Find two consecutive off integers such that their product os 35 more than 8 times their sum

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Taryn Mercer · Answer 1

Let the numbers be x and x + 1

x (x + 1) = 35 + 8 (x + x + 1)

x^2 + x = 35 + 8 (2x + 1)

x^2 + x = 35 + 16x + 8

x^2 + x - 16x = 43

x^2 - 15x - 43 = 0

x = 17.46 or - 2.46 which are not integers.

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