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zysi [14]
2 years ago
8

find the coordinates of the point where the graph of the following function intersects the x axis y=x^2-5x+6/x-2

Mathematics
1 answer:
Zina [86]2 years ago
8 0

\stackrel{\textit{x-intercept occurs when y = 0}}{\stackrel{y}{0}=\cfrac{x^2-5x+6}{x-2}}\implies 0=x^2-5x+6\implies 0=(x-3)(x-2) \\\\\\ x= \begin{cases} 3\\ 2 \end{cases}\qquad \qquad \stackrel{coordinates}{(3~~,~~0)\qquad (2~~,~~0)}

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Now that we have k, we can model the equation as y = 3/4x. We can also find any number of ordered pairs by using the x value and finding the y value. All of the above answers work.

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Step-by-step explanation:

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