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

比如我昨天发的邮件是关次方程的问题。

(Laughter) finding imaginary solutions to quadratic equations.

（笑声）寻找次方程的虚解。

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

您甚至可能次方程有所了解。

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

由次公式的工作方式， 我们将得到 2 可能的答案。

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

我们最终得到了这。 你可能认为这是次方程。

Which you probably recognize as a quadratic equation.

你可能认为这是次方程。

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

（铃响）- 这就是我们次公式的复习。

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

- 好像我的数学家同学次公式有任何疑问。

Not even a quadratic basis to work with here.

甚至找不出两相同的动作。

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

事物, e 到负次形式, 是高斯。

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

要求解次方程， 我们必须使用次公式。

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， 但是呃. . . . .

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

例如，第课将是关次公式的简单版本。

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

嗯，事实证明这是 e 到负 mu 的平方，某种次形式。

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

任何时候你看到分布， 它是 e 到负的，些次形式， 那就是高斯分布。

So the quadratic term is multiplied by the inverse variance.

因此, 次项乘以逆方差。

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

mu 给定 x bar 等倒置的次项乘数。

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

你知道为了找到次方程的两根，每人在学校都学习某公式吗？

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.

关土地的问题可以写成最早的未知数方程之，你可能听说过，次方程。

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次方程，然后从次方程中得出黄金分割率。