Question

If a+1/a=2,find a²+1/a²​

Answer 1

Given :-

a + 1 / a = 2

To find :-

a² + 1 / a²

Salutation :-

If , a + 1 / a = 2

Therefore ,

a² + 1 / a²

= ( a + 1 / a )² - 2.a . 1 / a

= ( 2 )² - 2.1

= 4 - 2

= 2 [ • Required Answer ]

Answer 2

Answer:

2

Explanation:

It is given that ,

a + 1/a = 2 ----( 1 )

On Squaring both sides, we get

(a+1/a)² = 4

=> a² + 1/a² + 2×a×(1/a) = 4

=> a²+1/a² + 2 = 4

=> a²+1/a² = 4-2 = 2

••••