SOLUTION: Please find 3 consecutive odd integers such that the product of the two smaller integers exceeds the largest integer by 52. (Only an algebraic solution will be excepted) Your he

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Please find 3 consecutive odd integers such that the product of the two smaller integers exceeds the largest integer by 52. (Only an algebraic solution will be excepted) Your he      Log On


   

Question 839818: Please find 3 consecutive odd integers such that the product of the two smaller integers exceeds the largest integer by 52. (Only an algebraic solution will be excepted)
Your help will be much appreciated

Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
consecutive odd integers: (x-2), x, (x+2)

(x-2)(x) = x+2 + 52
x^2 - 2x = x + 54
x^2 - 3x - 54 = 0
(x - 9)(x + 6) = 0

x is odd, so the integers are 7, 9, and 11.