SOLUTION: Are there two consecutive odd numbers such that the difference in their squares is 80?

Question 271818: Are there two consecutive odd numbers such that the difference in their squares is 80?
Answer by dabanfield(803) (Show Source): You can put this solution on YOUR website!
Are there two consecutive odd numbers such that the difference in their squares is 80?
You may edit the question. Maybe convert formulae to the same formula notation as in your solutions.
Are there two consecutive odd numbers such that the difference in their squares is 80?
Let x be the smaller integer. Then the next consecutive odd integer is x+2.
We need to solve:
(x+2)^2 - x^2 = 80
Expanding we have:
x^2 + 4x + 4 - x^2 = 80
4x = 76
x = 19
x+2 = 21

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