Models are hard to dislodge.

One half chance

But if you just pick a simple a is equal to 1, than what's b equal to?

So let's first understand what each of these words mean in the context of this framework.

And you say OK, this has to be equal to 0, or that has to be equal to 0.

Or, you could view it as the bound x is equal to the square root of y.

All right, the coefficient in front of the x squared term is equal to a 1.

So if d1 is equal to d2, and that equals 2a, then we know that this has to be equal to a.

That is 9 times 8.

What's ten times six?

Well, that's just going to be 74.

We could say f of...

And then I'll leave this 109 on the right hand side.

Add 2 to both sides of this, you get y is equal to 7.

The only time where it has any area is right under c.

Minus two squared is four, minus twelve six times minus two plus eight.

That's not a zero.

That's one one, plus another one, plus another one.

What does that equal?

So we start off with 5 plus 9.

And of course, 4 times 2, that part over there,

Yeah, it works.

So if we were to take minus 11x squared divided by 2x, that is equal to what?

So you could say that this is equal to x plus 5 over x minus 2.

Divide both sides by 3, and we get x is equal to 7 thirds. x is equal to let me just write it here x is equal to 7 over 3.

So we're saying this function, when does this function equal 0?

We take the 10, substitute it in for x. h of 10 is equal to 5 times x.

So maybe that's right here.

I know it says a minus 1, but think about it.

Well, we said that equals to 2a, that equals this distance right here.

This is the same thing as 9x times x plus 4 is equal to 405.

9x times x is equal to 9x squared.

Completely equivalent.

So let's say we had x squared minus 9 over 5x plus 15.

So d1 minus d2 is equal to I'm going off the video screen

And what's the antiderivative of this?

3 s times the Laplace transform of t squared.

We're essentially just evaluating these things at c.

Let's say, it is equal to let's say it is equal to five eight.

And now, we know that we start off with a ratio of five eight.

2 minus 7 over 11.

Let's just distribute the e the minus st.

Minus 3.

Sebastian Mallaby, Washington Post, great idea.

5 squared is 25. a squared plus 9 is equal to 25. a squared is equal to 16. a is equal to 4. a is equal to 4.