Question 265476
two consecutive odd integers have a product of 99. find all sets of integers that satisfy this description.
-------------
1st: 2x-1
2nd: 2x+1
---
Equation:
(2x-1)(2x+1) = 99
4x^2-1 = 99
4x^2 = 100
x^2 = 25
x = 5 or x = -5
----
Numbers:
If x = 5,
2x-1 = 9
2x+1 = 11
---------------
OR, if x = -5,
2x-1 = -11
2x+1 = -9
----------------
Cheers,
Stan H.