Determine all possible pair(s) (x, y) of positive integers that satisfy the equation:
x^{3} = y^{2} – 15
Testing for solutions, (1,4) and (109, 1138) are the only pair of positive integers found that satisfy the equation.
Extending the solution into the imaginary numbers, the number pairs (4, 7i) and (4, 7i) will also satisfy the equation. All other numbers found that satisfy the equation are fractional.
Edited on July 8, 2010, 4:24 pm

Posted by Dej Mar
on 20100708 13:35:16 