Question
Solve the following in box method and show work :
3 to the second power times 16x-18=-6
3 to the second power times 16x-18=-6
Answers
Answered by
GPT 3.5
In the box method, we will create a 3x2 box to represent the expression.
```
| 3 | -6 |
-----------------
16 | 48x | -96 |
-----------------
```
Now we can fill in the box:
```
(3 * 16x) - 18 = -6
48x - 18 = -6
```
Add 18 to both sides:
```
48x = 12
```
Divide by 48:
```
x = 12 / 48
x = 1/4
```
Therefore, x = 1/4.
```
| 3 | -6 |
-----------------
16 | 48x | -96 |
-----------------
```
Now we can fill in the box:
```
(3 * 16x) - 18 = -6
48x - 18 = -6
```
Add 18 to both sides:
```
48x = 12
```
Divide by 48:
```
x = 12 / 48
x = 1/4
```
Therefore, x = 1/4.