Roots

Algebra Level pending

The equation \( x^2 - 6x - 2 = 0 \) has two roots, \( \alpha\) and \( \beta \). Let \( a_n = \alpha^n + \beta^n \)

Find \( \dfrac{a_{100} -2a_{98}}{a_{99}} \)

This problem is not original.

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