Question

x-1/x=3.Find the value of x^4-1/x^4.​

Answer 1

Answer:

x^4-1/x^4=

Step-by-step explanation:

x-1/x=3

sq. in both sides

x²+1/x²-2=9

x²+1/x²=11----------1

x²+1/x²+2-2=11

(x+1/x)²=13

x+1/x=±√13-----------2

now,

x^4-1/x^4=(x²+1/x²)(x+1/x)(x-1/x)

              =11×±√13×3

              =33±√13