Question

if x+1/x=4 find the value of x^2 +1/x^2​

Answer 1

Answer:

14

Step-by-step explanation:

Given, x + 1/x = 4

squaring 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 = 16

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

Therefore, x^2 + 1 / x^2 = 14

I hope this answer is helpful :)