Question

X1/4 + x-1/4 = 2 then what is the value of x81 + (1/x81)

Answer 1

Answer:

10231/45

Step-by-step explanation:

x1/4 + x-1/4= 2

(1/ 4) x+x+( −1/ 4) =2

( 1/ 4 x+x)+( −1/ 4 )=2 (combine like terms)

5/ 4 x+( −1/ 4) =2

5/ 4 x+( −1/ 4) + 1 /4 =2+ 1/ 4

5/ 4 x= 9/ 4

( 4/ 5 )*( 5/ 4 x)=( 4/ 5 )*( 9/ 4 )

x= 9/5

x81 + (1/x81)

Using given info, substitute

9/5 * 81 + (1/9/5 * 81)

= 10231/45