Let \(x\) and \(y\) be integers, satisfying \((xy)^2 = (x+y)^3 - 13\).
Let \(x\) and \(y\) be integers satisfying \(x^3 - y^2 = 11\).
Find the sum of all possible values of \(x\) satisfying this equation.
Two small pieces are cut out of a spherical orange:
As shown, a circle has 2 chords AB = CD.
Are the yellow and blue areas always equal?
The above are 3 squares of distinct integer lengths, the smallest of which is 1.
Rearranging the 3 squares as in the diagram below, we find that the blue and ...