Finding x-Intercepts of a Quadratic

Consider the quadratic equation given by the expression:

$$y = x^2 - 4x + 3$$

To find the $x$-coordinates of the points where the graph intersects the x-axis, you need to determine the values of $x$ for which $y = 0$.

Solve for $x$ in the equation:

$$0 = x^2 - 4x + 3$$

Once you find the $x$-coordinates, please enter the smaller of the two solutions as your response, expressed as a simplified fraction or decimal.