SOLUTION: Find two consecutive integers whose product is 56.

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Question 784796: Find two consecutive integers whose product is 56.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = first integer, x+1 is the next consecutive integer

x*(x+1) = 56

x^2 + x = 56

x^2 + x - 56 = 0

(x+8)(x-7) = 0

x+8 = 0 or x-7 = 0

x = -8 or x = 7

So the two integers are

7 and 8

OR

-8 and -7