Question

if x^2+1/x^2=18
find the value of x +1/x​

Answer 1

Answer:

Step-by-step explanation:

x^2 +1/x^2 = 18

Add 2 both sides

x^2 + 1/x^2 + 2 = 18 + 2

We know that (a + b)^2 = a^2 + b^2 + 2ab

{x + 1/x]^2 = 20                                    [x + 1/x]^2 = x^2 + (1/x)^2 + 2 * x * 1/x

                                                          [x + 1/x]^2 = x^2 + 1/x^2 + 2    

x + 1/x = $\sqrt{20}$

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