Question

a^2 - 2a - 1 = 0 , then a^2 + 1/a^2 =​

Answer 1

ANSWER

We get answer as 6.

STEP BY STEP EXPLANATION

a2 - 2a - 1 = 0. a(a - 2) = 1. a - 2 = 1/a. a - 1/a = 2 ---- i). a2 + 1/a2.

Answer 2

Answer:

a^2 - 2a - 1 = 0 , then a^2 + 1/a^2 =​ 6

Step-by-step explanation:

a^2 -2a -1 = 0 => a^2 - 2a = 1 => a(a-2) = 1 => a -2 = 1/a => a - 1/a = 2

Now, a^2 + 1/a^2 = (a - 1/a )^2 + (2 ×a × 1/a) = 2^2 + 2 = 4 +2 = 6

Hence, a^2 + 1/a^2 = 6