Zeroes are interesting !!!

Algebra Level pending

\(If\quad \alpha ,\quad \beta \quad are\quad zeroes\quad of\quad { x }^{ 2 }-3x+1=0\quad then\quad find\quad the\quad value\quad of\quad \\ \\ \quad \quad \quad \quad \quad \quad \quad \quad \quad \frac { { \alpha }^{ 2014 }+{ \beta }^{ 2014 }+{ \alpha }^{ 2016 }+{ \beta }^{ 2016 } }{ { \alpha }^{ 2015 }+{ \beta }^{ 2015 } } \)

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