Question

Plz help me with this

Answer 1

Answer:

$(x,y) = (-1,-2.5)$

Step-by-step explanation:

Let be $f(x) = \frac{(x+3)^{2}}{x-2}$ and $g(x) = \left|\frac{x}{2}\right| -3$, 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 $f(x) = g(x)$. 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 $(x,y) = (-1,-2.5)$.