Determine all possible pair(s) (x, y) of positive integers that satisfy the equation: x³ = y² – 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 2010-07-08 13:35:16