Such as the email I sent yesterday was related to quadratic equation.

比如昨天发的邮件关于一个二次的问题。

To solve the quadratic equation we have to use the quadratic formula.

要求解二次， 们必须使用二次公。

(Laughter) finding imaginary solutions to quadratic equations.

（笑声）寻找二次的虚解。

Which you probably recognize as a quadratic equation.

你可能认为这一个二次。

(bell rings) - So that's our refresher on the quadratic formula.

（铃响）- 这就们对二次公的复习。

And you may even have learned a little bit about the quadratic equation.

您甚至可能对二次有所了解。

Not even a quadratic basis to work with here.

甚至找不出两个相同的动作。

Thing, e to the minus quadratic form, is Gaussian.

事物, e 到负二次形, 斯。

And we end up with this. Which you probably recognize as a quadratic equation.

们最终得到了这个。 你可能认为这一个二次。

As if my fellow mathlete here would have any questions about the quadratic formula.

- 好像的数学家同学会对二次公有任何疑问。

And because of the way the quadratic formula works, we'll get 2 possible answers.

由于二次公的工作， 们将得到 2 个可能的答案。

Well, it turns out this is e to the minus mu squared, some quadratic form.

嗯，事实证明这 e 到负 mu 的平，某种二次形。

So the quadratic term is multiplied by the inverse variance.

因此, 二次项乘以逆差。

For example, the very first lesson is going to be on a simpler version of the quadratic formula.

例如，第一课将关于二次公的简单版本。

I guess you could call that simplifying, but ugh...that's like quadratic, I don't want to do that.

想你可以称之为简化， 但呃. . . . .

Anytime you ever see a distribution and it's e to the minus, some quadratic form, that's Gaussian distribution.

任何时候你看到一个分布， 它 e 到负的，一些二次形， 那就斯分布。

Of mu given x bar is equal to quadratic terms multiplier inverted.

mu 给定 x bar 等于倒置的二次项乘数。

I was able to reduce what I had to find from an eighth-degree polynomial to a quadratic, and from the quadratic, the golden ratio fell out.

可以把的答案从八次多项简化成二次，然后从二次中得出黄金分割率。

You know how in order to find the two roots of a quadratic equation, everyone learns a certain formula in school?

你知道为了找到二次的两个根，每个人在学校都会学习某个公吗？

That question about the plots of land can be written as one of the first equations with unknowns you probably ever heard of, the quadratic equation.

关于土地的问题可以写成最早的未知数之一，你可能听说过，二次。