00:01
For this problem, we've been asked to solve for x using the square root property.
00:06
The square root property states that for some variable squared equal to a real number, the value of that variable is equal to the positive and negative square root of the real number.
00:19
In this equation, our squared variable is not alone on one side of the equation, so the square root property cannot be immediately used.
00:30
Another way of thinking about this is solving the equation for x using inverse operations, much like you would in any other circumstance.
00:40
And we'll talk about how the square root property demonstrates that in just a moment.
00:45
If i want to start solving this equation for x, i need to get it by itself.
00:51
So the first task would be to get the term with x by itself, which is 3x squared.
00:57
To do that, i would add two to each side.
01:04
That will leave 3x squared, which is the term with the variable by itself on the left, equal to positive 2.
01:15
Now that i have the term with the variable by itself, i want to remove its coefficient 3.
01:21
Since 3 is being multiplied with x squared, i would divide by 3 to get rid of it.
01:28
If i divide by 3 on the left, i must do so on the right to keep the equation balanced.
01:35
On the left, that will leave x squared by itself equal to positive 2 over 3 on the right.
01:47
The last step to isolate x would be to remove the exponent 2.
01:52
This is where the square root property comes in.
01:55
The square root property states that the square root, or taking a square root, an inverse operation that will remove the exponent 2.
02:06
A square root undoes a square.
02:09
So that's what we'll do here.
02:11
To remove this exponent 2, we can take a square root...