SOLUTION: the product of two consecutive integers is 55 more than their sum. Find the integers.

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Question 386125: the product of two consecutive integers is 55 more than their sum. Find the integers.
Answer by JimboP1977(311) About Me  (Show Source):
You can put this solution on YOUR website!
x(x+1)-55 = x+x+1
x^2+x-55 = 2x+1
x^2-x-56 = 0
(x-(1/2))^2 - (1/4) = 56
x = (225/4)^(1/2) + (1/2)
x = 8
So the two numbers are 8 and 9.