ElliotteE416504 ElliotteE416504

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Mathematics

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find the real solution(s), if any, of the system by examining the graph. verify the solutions algebraically

find the real solution(s), if any, of the system by examining the graph. verify the solutions algebraically class=

Answer :

NatashaW187849 NatashaW187849

Today at 1:58 PM

Explanation

We are to analyze the system of equations graphically

For quadratic equations

If the graph of the quadratic function crosses the x-axis at two points then we have two solutions. If the graph touches the x-axis at one point then we have one solution. If the graph does not intersect with the x-axis then the equation has no real solution.

For the given simultaneous

[tex]\begin{gathered} (x+1)^2+y^2=9 \\ y-3=-\frac{1}{3}(x+1)^2 \end{gathered}[/tex]

Plotting the two equations

From the graph, we have the solutions to be where the two graphs intersect

[tex]\begin{pmatrix}x=-4.0000\: & y=0 \\ x=-1.0000\: & y=3 \\ x=2,\: & y=0\end{pmatrix}[/tex]

Therefore, there are 3 real solutions

Thus, the answer is

${teks-lihat-gambar} NatashaW187849

${teks-lihat-gambar} NatashaW187849

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