Question: The equation x-x + 1 = 0 has roots a and B, and A,=a + for n 1. i. Without solving the equation,

The equation x-x + 1 = 0 has roots a and B,

The equation x-x + 1 = 0 has roots a and B, and A,=a" + " for n 1. i. Without solving the equation, show that A, A=-1 and 4, =A-A-2 for n23. na Hence show by induction that for n 21, A, = 2cos-

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