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2 years ago

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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