To find the solutions of the equation 3x^2 = 12, we first need to isolate x by dividing both sides by 3:
x^2 = 4
Next, take the square root of both sides to solve for x:
x = ±√4
x = ±2
Therefore, the solutions to the equation 3x^2 = 12 are x = 2 and x = -2.
To graph the related function, we can plot the function y = 3x^2 - 12:
Here is the graph:
```
|
16 | ●
|
12 | ●
|
8 | ●
|
4 |●●●●●●●●●●●●●●
| ●
|
|-----------------------
-4 -2 0 2 4 6
```
The graph shows that the function intersects the x-axis at x = 2 and x = -2, which confirms our earlier solution to the equation.
What are the solutions of the equation 3x^2=12? Use a graph of the related function.
1 answer