### Video Transcript

The graph shows the function π of
π₯ equals π₯ squared minus two π₯ plus three. What is the solution set of π of
π₯ equals zero?

If weβre looking for π of π₯ equal
to zero, weβre looking for the π₯-values that make π₯ squared minus two π₯ plus
three equal to zero. And on the graph, that will be the
place where π¦ equals zero. And we know that π¦ equals zero
along the π₯-axis. In order for this function to have
a solution of π of π₯ equals zero, it would need to cross the π₯-axis. This function does not cross the
π₯-axis. Therefore, it has zero solutions or
zero roots. And therefore, the solution set
here is the empty set; there is no solution.