Burt Kaliski Jr. (@modulomathy)
3/5/12 1:05 PM
#math trivia for #March5: #65 = (x^2-xy+y^2)(x+y) for positive integers x, y. What are x and y? (Hint: simplify the product.)
Simplifying the product by multiplying the terms gives
65 = x^3+y^3
The solution is x = 4, y = 1, or vice versa.