# Video: Finding the Solution Set of a Quadratic Equation Graphically

The diagram shows the graph of π¦ = π(π₯). What is the solution set of the equation π(π₯) = 0?

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### Video Transcript

The diagram shows the graph of π¦ equals π of π₯. What is the solution set of the equation π of π₯ equals zero?

We know that π¦ equals π of π₯. And weβre looking for the place where π of π₯ equals zero. That will be the place for this quadratic where π¦ equals zero. And π¦ equals zero at the π₯-intercept. π¦ equals zero along the π₯-axis. And this function is crossing the π₯-axis at negative two. Therefore, the π₯-intercept is negative two, zero. But the solution set will be the π₯-value that makes π of π₯ equal to zero. And that means instead of coordinate form, weβre only interested in the π₯-coordinate. This function equals zero when π₯ equals negative two. Therefore, the solution set will only include the value negative two.