Question

If[x+1/x]=4, then the value of[x²+1/x²] is

a) 14 b) 12 c)16 d) none of these




Answer me quickly.

Answer 1

Answer:

Option(d)

Step-by-step explanation:

x + 1/x = 4

Square on both sides.

(x + 1/x)^2 = 4^2

=> x^2 + 1/x^2 + 2(x + 1/x) = 16

=> x^2 + 1/x^2 + 2(4) = 16

=> x^2 + 1/x^2 + 8 = 16

=> x^2 + 1/x^2 = 16 - 8

=> x^2 + 1/x^2 = 8

Answer is None of these.

Answer 2

Answer
A) 14
Explaination
Refer the attachment