SOLUTION: The product of two consecutive positive integers is 359 more than the next integer.What is the largest of the three integers?

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Question 908272: The product of two consecutive positive integers is 359 more than the next integer.What is the largest of the three integers?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
n*(n+1)=359+n+2
n^2+n=359+n+2
n^2=361
n^2-361=0
n = 19
19,20,21
21 is the largest
19*20=380
380-359=21