plz help me with this

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05-05-2021
Mathematics

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plz help me with this

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Xero099idn Xero099idn · Answer 1 · 2021-05-09T20:40:05-04:00

Answer:

[tex](x,y) = (-1,-2.5)[/tex]

Step-by-step explanation:

Let be [tex]f(x) = \frac{(x+3)^{2}}{x-2}[/tex] and [tex]g(x) = \left|\frac{x}{2}\right| -3[/tex], we plot each curve with the help of graphic tool. In this case, we use Desmos and outcome is presented in the image attached below. Mathematically speaking, a solution to the system of equation exists when [tex]f(x) = g(x)[/tex]. Graphically speaking, it means that a solution exists when both curves pass through each other.

According to the graphic tool, we conclude that the only solution to the system of equations is [tex](x,y) = (-1,-2.5)[/tex].

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