Question

please solve this question​

Answer 1

Given, a²-a+1 = 0

⇒ (a – 1) (a² + a + 1) = 0

⇒ a³– 1 = 0

⇒ a³ = 1

⇒ a = 1

∴ Now,

a^47 + 1/a^47

= (1)^47 + 1/(1)^47 [ As, a = 1 ]

= 1 + 1/1

= 1 + 1

= 2

∴The value of a^47 + 1/ a^47 is 2. (Answer)