Question

if x² + 1/x² = 7 then find value of x + 1/x​

Answer 1

3

Step-by-step explanation:

x^2 + 1/x^2 = 7

(x + 1/x)^2 - 2(x)(1/x) = 7

(x + 1/ x)^2 = 9 => (x + 1/x) = 3

used identity: (a^2+b^2)

= (a+b)^2 - 2ab