00:01
It's already set up where the reading term is 1.
00:03
So we're going to go begin our process by moving the 8 or the 4 over to the other side.
00:08
Now, when i do this, i like to leave a little bit of a gap.
00:11
Then we're going to take the b term, so negative 8 divided by 2 and square it.
00:16
So this is equal to negative 4 squared, which is equal to 16.
00:20
So i'm going to add 16 in on both sides here and here.
00:24
So now the left side is factorable.
00:25
This factors into x minus 4 squared.
00:28
And on the right, i get 20.
00:30
Now i'm going to take the square root of both signs.
00:32
For right now, i'm going to go ahead and simplify the radical, and then i'll go into the two answer choices.
00:37
So on the left, you're left with x minus 4, and on the right, this is 4 times 5.
00:42
So we have plus or minus 2 times the square root of 5.
00:46
So the exact answer here is going to move that 4 over to become positive 4, plus or minus 2 square root of 5.
00:52
So from here, our next step is going to be adding and subtracting.
00:58
So i'm going to do four plus two times the square root of five.
01:03
And i'm going to do four minus two times of square root of five.
01:06
So for the first one here, i'm going to get, when i do the plus, i get eight point five.
01:13
And for the second one here, i get negative 0 .5.
01:17
That's your first question.
01:18
For the second one, the first thing we have to do is divide everything through by negative three.
01:24
And that gets the leading term to be x squared.
01:27
So that minus four thirds x and then plus five thirds.
01:32
So what i'm going to do now instead is move it to the other side.
01:35
And that gets me, oops, i'll leave my gas like i did before.
01:39
So that equals negative five over three over here...