An algebra problem by Dipto Biswas

Algebra Level 4

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

×