Question

What are the solutions of the equation 3x^2=12? Use a graph of the related function.

Answer 1

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.