SOLUTION: Find two consecutive odd integers so that the square of the larger exceeds their product by 34.

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Question 1186010: Find two consecutive odd integers so that the square of the larger exceeds their
product by 34.
Found 2 solutions by josgarithmetic, JBnovelwriter:
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Simple, very literal description. What help do you need?

If you say the smaller integer is n-1, and larger integers is n+1, both assumed odd, and follow the description exactly as written,.... then

15 and 17.

Answer by JBnovelwriter(34) About Me  (Show Source):
You can put this solution on YOUR website!
example 3 and 5
3+2=5
so x and y
x%2B2=y
(x) and (x+2) are the 2 numbers you are looking for.
the larger number would be (x+2)
%28x%2B2%29%5E2=%28x%28x%2B2%29%29%2B34
%28x%2B2%29%5E2=x%5E2%2B2x%2B34
x%5E2%2B4x%2B4=x%5E2%2B2x%2B34
4x%2B4=2x%2B34
2x=30
15=x
17=y
Check
17x17=289
15x17=255
289-255=34