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If roots of x^2-x+4=0 are alpha and beta...

If roots of `x^2-x+4=0` are `alpha and beta` such that `P_n=alpha^n-beta^n` , then which of the following is correct

A

`P_15=P_14+4P_13`

B

`P_15=P_13+4P_14`

C

`P_13=P_15-4P_14`

D

`P_15=P_14-4P_13`

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