Question

The following system of equations can be used to find the roots of the equation x3 + 72 = 5x2 + 18x. y = x3 + 72 y = 5x2 + 18x Graph this system of equations on the graphing calculator. How many intersection points can you see in the default viewing window?

Answer 1

Answer:

he following system of equations can be used to find the roots of the equation

x3 + 72 = 5x2 + 18x.

y = x3 + 72

y = 5x2 + 18x

Graph this system of equations on the graphing calculator.

How many intersection points can you see in the default viewing window?  

✔ 1

Adjust the window so you can find all of the points of intersection for the system of equations.

What are the roots of the original polynomial equation? Check all that apply.

–6  

0

✔ 6

✔ –4

✔ 3

8

Step-by-step explanation:

no

Answer 2

The point of intersection of functions or equation in a graph, is the solution to the system of equations.

The number of intersection points on the graphs of $\mathbf{y = x^3 + 72}$ and $\mathbf{ \\ y= 5x^2 + 18x}$ is 2

The equation is given as:

$\mathbf{x^3 + 72 = 5x^2 + 18x}$

The equations to plot on the graph are:

$\mathbf{y = x^3 + 72}\\\mathbf{ \\ y= 5x^2 + 18x}$

See attachment for the graph of both equations

From the graph, the number of intersection points is 2.

Hence, the equation has 2 solutions

Read more about solutions of equation at:

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