Question 164
Solve in $[1, \infty) \times \mathbb{R}$ the following system of equations
$$
\begin{cases}
x + y = 2^x \\
x^2 + y^2 = 2^{[y]}.
\end{cases}
$$
$$
\begin{cases}
x + y = 2^x \\
x^2 + y^2 = 2^{[y]}.
\end{cases}
$$
MathNet 2024-part-04 — 168 problems (EN–VI) Question 164
Math Olympiad Vault · MathNet 2024-part-04 — 168 problems (EN–VI)