Question

If x+1/x=5, Find the values of-

A) x^2+1/x^2
B) x^4+1/x^4​

Answer 1

Answer:

i) 23 ii) 574

Step-by-step explanation:

x + 1/x = 5

square on both sides

(x + 1/x)^2 = 25

x^2 + 1/x^2 + 2 x * 1/x = 25

x^2 + 1/x^2 = 23

this step again square on both sides we will get

x^4 + 1/x^4 + 2 = 576

x^4 + 1/x^4 = 574