Question

25. x + 1/x = 9 and x - 1/x = 6 , then find the value of x ^ 4 - 1/(x ^ 4​

Answer 1

Answer:

2844

Step-by-step explanation:

(x+1/x)(x-1/x)=9(6)

x^2 - 1/ x^2 =36

now

x+1/x=9

(x+1/x)^2=9^2

x^2+1/x^2+2x(1/x)=81

x^2+1/x^2=81-2

x^2+1/x^2= 79

now

(x^2 - 1/ x^2)(x^2+1/x^2)=36×79

x^4-1/x^4=2844