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Question Video: Determining Where the Graph of a Quadratic Equation in Two Variables in Factored Form Crosses the 𝒙-Axis Mathematics • 9th Grade

At which values of 𝑥 does the graph of the equation 𝑦 = 𝑥(𝑥 −10) cross the 𝑥-axis?

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Video Transcript

At which values of 𝑥 does the graph of the equation 𝑦 is equal to 𝑥 multiplied by 𝑥 minus 10 cross the 𝑥-axis?

We know that any equation crosses the 𝑥-axis when 𝑦 is equal to zero. This means that in this question 𝑥 multiplied by 𝑥 minus 10 must equal zero. This gives us two possible solutions, either 𝑥 equals zero or 𝑥 minus 10 is equal to zero. Adding 10 to both sides of the second equation gives us 𝑥 is equal to 10. The quadratic equation 𝑦 is equal to 𝑥 multiplied by 𝑥 minus 10 crosses the 𝑥-axis at zero and 10.

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