If ( x + 1/x ) = 3, then ( x^2 + 1x^2 ) is = ?

Answer: Option C

$$\begin{array}{rl}& \text{Given,}\\ & \left(x+\frac{1}{x}\right)=3\\ & \text{On squaring both sides, we get}\\ & {\left(x+\frac{1}{x}\right)}^2=3^2\\ & \Rightarrow {\left(x+\frac{1}{x}\right)}^2=9\\ & \Rightarrow x^2+\frac{1}{x^2}+2=9\\ & \Rightarrow x^2+\frac{1}{x^2}=7\end{array}$$