Posted by haifeng on 2022-07-04 08:01:28 last update 2022-07-04 13:54:47 | Answers (3) | 收藏
1. 设 $m,n\in\mathbb{R}$, 已知 $(m+\sqrt{m^2+1})(n+\sqrt{n^2+1})=1$, 证明 $m+n=0$.
2. 解方程组
\[ \begin{cases} x^3+y^3=5,\\ x^2+y^2=3. \end{cases} \]