SOLUTION: find two consecutive positive odd integers such that the square of the first decreased by 70 is the same as the second

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Question 843436: find two consecutive positive odd integers such that the square of the first decreased by 70 is the same as the second
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let N be the first odd integer number, N+2 is the next consecutive odd integer
N%5E2-70=N%2B2
N%5E2-N-72=0
%28N-9%29%28N%2B8%29=0
Two solutions:
N-9=0
N=9
and
N%2B8=0
N=-8
However you're only looking for positive solutions,
N=9
The numbers are 9 and 11.
Checking the solution.
9%5E2-70=11
81-70=11
11=11
True, a good solution.