Question

(a+1/a +2)²= 4 and then find a²+1/a²

Answer 1

(a+1/a)² = a² + 1/a² + 2(a)(1/a)

(a+1/a)² = 23 + 2

(a+1/a)² = 25

(a+1/a) = √25

a + 1/a = 5

Answer 2

a + 1/a = 3
=>(a + 1/a)^ = 3^2
=>a^2 + 2. a. 1/a + 1/a^2 = 9
=>a^2 + 2 + 1/a^2 = 9
=> a^2 + 1/a^2 = 9-2 = 7

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