# Bashing roots

Algebra Level 3

if $$a$$ and $$b$$ are roots of $$x^2 - 3x + 1 = 0$$ then find the value of $\large \frac{a^{2014} + b^{2014} + a^{2016} + b^{2016}}{a^{2015} + b^{2015}}.$

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