SOLUTION: Given that (alpha) is the root of the equation x^2= 2x-1, show that: (a) (alpha)^3= 3(alpha) -2 , (b) (alpha)^4-(alpha)^2= 2(alpha)-2

Question 173565: Given that (alpha) is the root of the equation x^2= 2x-1, show that:
(a) (alpha)^3= 3(alpha) -2 ,
(b) (alpha)^4-(alpha)^2= 2(alpha)-2
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
→ → → , therefore

(a) and

(b) and

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