Question 19
Do there exist integers $x$ and $y$ such that:
a. $x^2 + (x + 1)^2 + (x + 2)^2 = y^2$?
b. $x^2 + (x + 1)^2 + (x + 2)^2 + (x + 3)^2 = y^2$?
a. $x^2 + (x + 1)^2 + (x + 2)^2 = y^2$?
b. $x^2 + (x + 1)^2 + (x + 2)^2 + (x + 3)^2 = y^2$?
Math Olympiad Vault · MathNet 2022-part-02 — 197 problems (EN–VI)