If \( x, y \in R \) and \( 15 x+8 y=34 \), then \( \left(x^{2}+y^{2}\right)_{\min } \) is equal to

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If \( x, y \in R \) and \( 15 x+8 y=34 \), then \( \left(x^{2}+y^{2}\right)_{\min } \) is equal to
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