Question

If x+1/x=4. What is the value of x^2+1/x^2

Answer 1

Step-by-step explanation:

x+1/x=4

cross multiply or transpose

4x=x+1

3x=1

x=1/3

substitute in x^2+1/x^2

1/3^2=1/9

1/9+1/1/9

10/9/1/9

x^2+1/x^2=10/9/1/9

=10

Answer 2

Answer:

14

Step-by-step explanation:

if x + 1/x = 4.......(1)

then,

=> (x+1/x)² = x²+1/x²+2x1/x

[from eq (1)]

=> (4)² = x²+1/x²+2

=>16-2 = x²+1/x²

=> 14

therefore x²+1/x² = 14