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MathNet 2003 — Part 02 Question 84

Math Olympiad Vault · MathNet 2003 — Part 02

Question 84

Solve the system
$$
\begin{cases}
x + y + z + t = 6, \\
\sqrt{1 - x^{2}} + \sqrt{4 - y^{2}} + \sqrt{9 - z^{2}} + \sqrt{16 - t^{2}} = 8.
\end{cases}
$$