Question

if x² + 1/x² =34 find the value of x + 1/x​

Answer 1

Answer : ±6

the solution is in the attachment.

I hope this will help you. :)

Answer 2

Step-by-step explanation:

$= {(x + \frac{1}{x})}^{2} = {x}^{2} + \frac{1}{ {x}^{2} } + 2 \times x \times \frac{1}{x} \\ \\ = {(x + \frac{1}{x})}^{2} = {x}^{2} + \frac{1}{ {x}^{2} } + 2 \\ \\ = {(x + \frac{1}{x})}^{2} = 34+ 2 \\ \\ = {(x + \frac{1}{x})}^{2} = 36 \\ \\ = x + \frac{1}{x} = + 6 \: \: or \: - 6$