Question

if x + 1/x = 4 find x² + 1/x²​

Answer 1

Answer:

${x}^{2} + \frac{1}{ {x}^{2} } = ( {x + \frac{1}{x} })^{2} - 2.x. \frac{1}{x} \\ \\ = {4}^{2} - 2 \\ = 16 - 2 \\ = 14$

Answer 2

Answer:

14

Step-by-step explanation:

(x+1/x)=4

x^2+(1/x)^2={x+(1/x)}^2-2.x. (1/x)=4^2-2×1=16-2=14