Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2006 — Part 02 Question 57

Math Olympiad Vault · MathNet 2006 — Part 02

Question 57

Solve the system
$$
\left\lvert\,
\begin{aligned}
& \left(4^{\sqrt{x^{2}+x}}+7 \cdot 2^{\sqrt{x^{2}+x}}-1\right) \sin (\pi y)=7|\sin (\pi y)| \\
& x^{2}+4 x+y^{2}=0
\end{aligned}
\right.
$$