Question

Find the real solutions of the following equation by graphing.
x^3-9x^2+20x=0

Answer 1

To graph the equation, we need to set it equal to y and create a table of values to plot points.

Setting the equation equal to y:
y = x^3 - 9x^2 + 20x

Creating a table of values:
x | y
0 | 0
1 | 12
2 | 24
3 | 18
4 | 0

Plotting the points on the graph, we get:

y-axis
|
| o
| o
| o
| o
|_____________________
x-axis

Connecting the plotted points, we get:

y-axis
|
| o
| o
| o
|--------o-----o
|_____________________
x-axis

From the graph, we can see that there are two real solutions:

x = 0 and x = 4