Question

if a+1/a =2
find the value of a^4+1/a^4​

Answer 1

Step-by-step explanation:

if (a+1/a)=2

then, 2a^2+1=2a

a^4 can be written as (a^2)^2

therefore, a^4+1/a^4= (2a^2-1)^2 + 1/ (2a^2-1)^2

= (2a^2-1)^4+1/ (2a^2-1)^2

Answer 2

Answer:

Step-by-step explanation:

Square on both sides, you get

a^2+1/a^2+2=4

So, a^2+1/a^2= 2

On squaring on both sides,

a^4+1/a^4=2