Koobits Math Olympiad | RECENT - VERSION |

Consider "Rohan" (Singapore, Primary 4). Initially, he struggled with the (a classic Olympiad topic). His school didn't cover it until Primary 5.

: Find the number of positive integer solutions to the equation $x^2 + y^2 = 100$. Solution : The solutions are: $(0, 10), (0, -10), (10, 0), (-10, 0), (6, 8), (8, 6), (-6, 8), (6, -8), (8, -6), (-8, 6), (-6, -8), (-8, -6)$. However, we are only interested in positive integer solutions, so the final answer is 6: $(6, 8), (8, 6)$ and their permutations. koobits math olympiad