# Rational Gaze

**Number Theory**Level 4

\[ \large x^y = y^3 + 10x + x^2 \]

If the equation above have positive integer solution of \(x = \alpha, y = \beta \), then find the value of \(\frac \beta \alpha \).

\[ \large x^y = y^3 + 10x + x^2 \]

If the equation above have positive integer solution of \(x = \alpha, y = \beta \), then find the value of \(\frac \beta \alpha \).

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