Copies

Copies

Number of copies

Number of Copies

One is a plus bi.

You get another complex number.

So we have two mixed numbers here.

2 Real Part

3 Imaginary Part

little bit of both.

And we're distributing the 1 74 times both of these, I guess is one way to think about it.

And that's how we got this thing over here, where we have a nice real part and a nice imaginary part.

So, the first thing I'd like to do here is to just kind of get rid of these parentheses.

So that equals a plus b oh sorry.

Plenty of room to move around.

The inventors don't know what the invention is.

Algebra is a branch of mathematics.

That's five.

And our vertical axis is going to be the imaginary part.

So we just have to figure out the real and the imaginary parts.

So if I have a plus bi, where a is real and b is real, this is a complex number.

Derivative of the inside is r.

Which of the following complex numbers is represented by the point on the graph below?

So we have a complex number here.

Once again, the real part is 5.

The real part is 4.

We need a warrant. Warrants. One for each locker.

And so we could write this.

Here, on the horizontal axis that's going to be the real part of our complex number.

And we are done.

So when you add two complex numbers, all you do is you add the real parts to each other and you add the complex parts to each other.

4 Squared Real Part

5 Squared Imaginary Part

Well this simplifies to I'm going to go back here.

so it would evaluate to 2.

It has a real part 2.

So in in this example, this complex number, our real part is 2.

That's that, and that.

Reduce to lowest terms. So let's just try to factor out things on the top and the bottom and see what happens.

Nothing fancy here. z sub one minus z sub two.

And that's the new real part.

The x axis is the real axis.

So you go 1, 2, 3, 4, 5.

So what's the real part?

So 5 2i.