# A problem by Trevor B.

Level pending

If $$6x-5y+3z=14\text{,}$$ then the minimum value of $$x^2+y^2+z^2$$ is $$\frac{A}{B}\text{,}$$ where $$A$$ and $$B$$ are positive coprime integers. What is $$A+B\text{?}$$

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