00:01
So here we're going to use the discriminant.
00:05
But i'd like you to think about this for a minute.
00:07
So let's get our discriminate up here, b squared minus 4a, c.
00:15
But in this case, we have this 3x squared minus 10 equals 0.
00:25
So this actually tells me because i have this minus here, i'm going to have the difference of squares.
00:35
They're not going to be pretty squares because these aren't perfect squares.
00:38
Right? neither the 10 nor the three is a perfect square.
00:44
So it's not going to be pretty, but it is a perfect square.
00:50
So the real question is, is this going to be complex or rational? so you could actually think about this one, and you really should have two complex real solutions.
01:05
But let's just check it out and see.
01:06
So let's go get our pieces and plug them in just so we can prove this to ourselves.
01:11
Our a is equal to 3.
01:14
Our b is equal to 0 because it's that constant in front of the linear term and there's no linear term.
01:22
The only way to get it to be gone is to multiply it by 0.
01:27
So our c is going to equal negative 10...