SOLUTION: the product of two consecutive odd integers is equal to 30 more than the first. find the integers
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Question 845076
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the product of two consecutive odd integers is equal to 30 more than the first. find the integers
Answer by
CubeyThePenguin(3113)
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consecutive odd integers: x, (x+2)
x(x+2) = x + 30
x^2 + 2x = x + 30
x^2 - x - 30 = 0
(x - 6)(x + 5) = 0
x = 6, x = -5
x is odd, so the integers are -5 and -3.