__Example 2__The straight line $y=2k+1$ intersects the curve $y=x+\frac{{k}^{2}}{x}$ at two distinct points. Find the range of values of k.

*Nature of the Roots (Combination of Straight Line and the Curve)*

Onlinetuition.com SPM Additional Mathematics

The straight line $y=2k+1$ intersects the curve $y=x+\frac{{k}^{2}}{x}$ at two distinct points. Find the range of values of k.