Home > Just Math
|Product + Square = Difference of Squares (Posted on 2011-07-03)
Three positive integers P, Q and R, with P < Q < R, are in arithmetic sequence satisfying :
N*P*Q*R + Q2 = R2 - P2, where N is a positive integer.
Determine all possible quadruplet(s) (P, Q, R, N) that satisfy the above equation, and prove that no other quadruplet satisfies the given conditions.
You must be logged in to post comments.)
Please log in:
About This Site
New Comments (7)
Top Rated Problems
This month's top
Most Commented On