Question

if a= (2-√3)/2 then find the value of a^2+1/a^2

Answer 1

hi dear I am not sure if you have any questions

Answer 2

Answer:

-5 / 3

Step-by-step explanation:

a = 2 - √3 / 2

⇒ a² + 1/a² = (2 - √3 / 2)²

⇒ (a + 1/a)² = 2 - 3/2

⇒ a² + 1/a² + 2 = 1/3

⇒ a² + 1/a² = 1/3 - 2

⇒ a² + 1/a² = 1 - 6 / 3

⇒ a² + 1/a² = -5/3

⇒ -5/3 is your required answer!!