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

比如我昨天发的邮件于个二次方程的问题。

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

要求解二次方程， 我们必须使用二次公式。

(Laughter) finding imaginary solutions to quadratic equations.

（笑声）寻找二次方程的虚解。

Which you probably recognize as a quadratic equation.

你可能认为个二次方程。

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

（铃响）- 就我们对二次公式的复习。

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

您甚至可能对二次方程有所了解。

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 到负二次形式, 高斯。

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

我们最终得到了个。 你可能认为个二次方程。

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

- 好像我的数学家同学会对二次公式有任何疑问。

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

由于二次公式的工作方式， 我们将得到 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 e 到负 mu 的平方，某种二次形式。

So the quadratic term is multiplied by the inverse variance.

因此, 二次项乘以逆方差。

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

例如，第课将于二次公式的简单版本。

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

我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.

任何时候你看到个分布， 它 e 到负的，些二次形式， 那就高斯分布。

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.

我可以把我的答案从八次方多项式简化成二次方程，然后从二次方程中得出黄金分割率。

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方程的两个根，每个人在学校都会学习某个公式吗？

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.

于土地的问题可以写成最早的未知数方程之，你可能听说过，二次方程。