SOLUTION: The product of two consecutive positive integers is 32 more than three times the larger integer. Find the integer

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Question 801742: The product of two consecutive positive integers is 32 more than three times the larger integer. Find the integer
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
consecutive integers: x, (x+1)

x(x+1) = 32 + 3(x+1)
x^2 + x = 3x + 35
x^2 - 2x - 35 = 0
(x - 7)(x + 5) = 0
x = 7, x = -5

x is positive, so the numbers are 7 and 8.