SOLUTION: The largest of the three consecutive positive numbers is n. The square of this number exceeds the sum of the other two by 38. Find the three numbers

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Question 922648: The largest of the three consecutive positive numbers is n. The square of this number exceeds the sum of the other two by 38. Find the three numbers
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The numbers are n-2, n-1, n.

n%5E2-%28n-2%2Bn-1%29=38, transcription of the description into an equation.

n%5E2-%282n-3%29=38
n%5E2-2n%2B3=38
n%5E2-2n-35=0
%28n-7%29%28n%2B5%29=0

highlight%28n=7%29, the POSITIVE integer.

The integers, 5, 6, 7.