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

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Question 324646: The product of two consecutive integers is 55 more than their sum. Find the integers.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
n%28n%2B1%29=55%2Bn%2Bn%2B1
n%5E2%2Bn=2n%2B56
n%5E2-n-56=0
%28n%2B7%29%28n-8%29=0
Two solutions:
n%2B7=0
+n=-7
Then the integers are -7 and -6.
Verify
%28-7%29%28-6%29=55-7-6
42=48-6
42=42
True
.
.
.
n-8=0
n=8
Then the integers are 8 and 9.
Verify
8%2A9=55%2B8%2B9
72=63%2B9
72=72
True