It is known that the negative power of x plus x is equal to 3. Find the value of 1 / 2 of x plus 1 / 2 of X

It is known that the negative power of x plus x is equal to 3. Find the value of 1 / 2 of x plus 1 / 2 of X

x+x^(-1)=3
[x^(1/2)+x^(-1/2)]^2-2x^(1/2)*x^(-1/2)=3
[x^(1/2)+x^(-1/2)]^2=5
X ^ (1 / 2) + x ^ (- 1 / 2) = positive and negative root sign 5