Question

If a - 1/a = 5 then find a^2 + 1/a^2​

Answer 1

Answer:

23

Step-by-step explanation:

Given,

a-1/a=5

To find

a^2+1/a^2

Solution

(a-1/a)^2=a^2+1/a^2+2xax1/a

5^2=a^2+1/a^2+2

25=a^2+1/a^2+2

25-2=a^2+1/a^2

Therefore,a^2+1/a^2=23