Quadratic EquationEasy

Question

Let α and β be the roots of equation x2 - 6x - 2 = 0. If an = αn - βn, for n ≥ 1, then the value of is equal to :

Options

A.3
B.-3
C.6
D.-6

Solution

Given x2 - 6x - 2 = 0
∴   an+2 - 6an+1 - 2an = 0

Now, put n = 8

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