Question

If(x+1/x)=4 , find the value of x^2+1/x^2

Answer 1

I hope this helps you :-)

Answer 2

✔✔ Answer ✔✔

Given :-

✏ (x + 1/x) ➡ 4

Find :-

✏ x^2 + 1/x^2

⭕ 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
✒ x^2 + 1/x^2 = 14

$\textbf{\huge{\red{x^2\: + 1/x^2\: =\: 14}}}$