Question

Solve the equation graphically in the interval [4,7] using your graphing calculator:

x^3 - 3.3x^2 - 23.8x = 0
Ensure your answer is accurate to at least two decimals.

Answer 1

The solutions to the equations graphically are x = -3.5, 0 and 6.8

Solving the equation graphically

From the question, we have the following parameters that can be used in our computation:

x³ - 3.3x² - 23.8x = 0

Next, we plot the graph of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point where the curve intersects with the x-axis

In this case, the points are located at (-3.5, 0), (0, 0) and (6.8, 0)

So, the solutions are x = -3.5, 0 and 6.8