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

 

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The equation x²-x + 1 = 0 has roots a and B, and A,=a" + " for n ≥ 1. i. Without solving the equation, show that A₁, A₂=-1 and 4, =A-A-2 for n23. na Hence show by induction that for n 21, A, = 2cos- The equation x²-x + 1 = 0 has roots a and B, and A,=a" + " for n ≥ 1. i. Without solving the equation, show that A₁, A₂=-1 and 4, =A-A-2 for n23. na Hence show by induction that for n 21, A, = 2cos-

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We have the equation x2 x 1 0 The roots of this equation can be found using the quadratic formula x ... View the full answer