# Quadratic in X, Cubic in Y

**Number Theory**Level 3

\[\large \color{green}{X^2+Y^3=793}\] If \(-9 \leq X, Y \leq 9\) and \(X,Y \in \mathbb{Z}\) satisfy the above equation, then find the minimum value of \(\color{green}{\left( X+Y \right)}\).

\[\large \color{green}{X^2+Y^3=793}\] If \(-9 \leq X, Y \leq 9\) and \(X,Y \in \mathbb{Z}\) satisfy the above equation, then find the minimum value of \(\color{green}{\left( X+Y \right)}\).

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