Question 172
Determine all ordered pairs $(x, y)$ of nonnegative integers that satisfy the equation
$$
3 x^{2}+2 \cdot 9^{y}=x\left(4^{y+1}-1\right).
$$
$$
3 x^{2}+2 \cdot 9^{y}=x\left(4^{y+1}-1\right).
$$
MathNet 2018-part-03 — 181 problems (EN–VI) Question 172
Math Olympiad Vault · MathNet 2018-part-03 — 181 problems (EN–VI)