SOLUTION: Find two consecutive odd integers such that their product is 59 more than 2 times their sum.
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Question 1014184
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Find two consecutive odd integers such that their product is 59 more than 2 times their sum.
Answer by
CubeyThePenguin(3113)
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consecutive odd integers: x, (x+2)
x(x+2) = 59 + 2(x + (x+2))
x^2 + 2x = 59 + 2(2x + 2)
x^2 + 2x = 4x + 63
x^2 - 2x - 63 = 0
(x - 9)(x + 7) = 0
The integers could be {-7, -5} or {9, 11}.