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MathNet 2007-part-01 — 187 problems (EN–VI) Question 91

Math Olympiad Vault · MathNet 2007-part-01 — 187 problems (EN–VI)

Question 91

Solve in integers the system
$$
\begin{cases} 3a^4 + 2b^3 = c^2 \\ 3a^6 + b^5 = d^2. \end{cases}
$$