So you get equals x squared over a squared plus 1.

And now we could square both sides of this equation right here.

1 is definitely less than 2.

And let's see if this actually turns out to be a parabola.

We could rewrite this as y squared over x squared.

Now if we multiply both sides by x plus 2, x plus 2 is a negative number.

So let's just do the same step.

That's the left hand side.

Now, we can just multiply both sides of this equation by minus thirteen over three.

The equivalent of doing this mathematically is to say

Then you have an 8 times a negative 15.

Let me scroll this down a little bit.

Let's say that v and I'll do v in a different color let's say that v is equal to y over x.

I'm going to multiply that by negative 2 as well.

So let's call that mu.

We have to separate the y's from the x's.

And then we want to add the area of this inside, this inside square.

The answer is this one is a Gaussian, this one, and this one.

This or this squared, which is the height squared, is equal to your hypotenuse squared, this is your hypotenuse squared, minus the other side squared.

Because it's a lot easier to deal with these equations than to deal with these.

But all these have the same mass. That's why I wrote Y on all of them.

Or a one y on the right hand side, I can divide both sides by 13.

Now what can we do to simplify this?

little bit, because once again this could be any constant.

So let's try to do that.

Now let's distribute the b, so 30 is equal to b squared over 2 be careful. b 2 times b is just b squared over 2 and then b 2 times 4 is 2b now just to get rid of this fraction here, let's multiply both sides of the equation by two

Multiply both sides times s squared over s squared plus a squared.

It should maybe start becoming a little bit clearer what the solution here is, but let's just keep going forward.

And minus 2y and minus 2y is minus 4y.

Now, to get rid of these radicals, let's square both sides of this equation.

And so you have this 15 trillions divided by 1.025 or you can divide both sides by 1.025 and multiply both sides by the real GDP.

And so what could we do here?

So let's do the same thing.

That is the F in FOlL.

Let's solve the problem.

So when you complete the square you want the thing to just look like a you want whatever's on the left hand side to look like a perfect square.

Well, if we multiply this times 30, that's 30 times Ann's velocity, so we can multiply both sides of this times 30.

I've isolated the y on the righthand side, although it's being multiplied by 13.

Now, just like the last problem, we want to turn this

We learned in the last video that the equation of a circle is x squared and a circle centered at the origin. x squared plus y squared is equal to r squared.

One of these days.

I'm going to multiply both sides by x plus 2, which I'm assuming is positive because x is greater than minus 2.

Or the focal length squared minus a squared is equal to b squared.

And of course whatever we add on the side, we're going to have to multiply it by 9, because we're really adding nine times that.

The passengers sat four aside.