Here I added the 5, kind of, on the same line.

Afterwards, we have about a dozen or so binary rules.

We still have a greater than sign.

All we're doing is simplifying the sides, or adding and subtracting from them.

learned how to graph it.

You have a less than or equal sign.

So vector b looks like that 0, 3.

And we need to figure out these focal distances.

I haven't changed this.

Plot them out on complex plane, and see what happens when you multiply them, when you divide them, when you add them, when you subtract them.

Inversed Subtract

Subtract

It's equal to 3.

0 27 is 0.

Otherwise, we try the other way.

And then to go from 3 to negative 3, well, we subtracted 6 again.

A general, easy way to always do negative numbers is it's just like regular addition and subtraction, but now when we subtract we can go to the left below zero

6 2 is 12, 4 is 16.

Minus

And this is just a good thing to kind of really get seared into your brain is to have an intuition for these things.

Let me define vector b to be equal to 4, minus 2, 0, 5.

Add

Leibniz, who came a little bit later this is 1679 showed that you didn't even need subtraction.

Right?

That's always the simplest type of pattern.

And then the imaginary parts we have 2i so plus 2i and then we have a 7i or we're adding or we're subtracting 7i

We're just adding and subtracting from both sides, in this case, subtracting.

Actually, we could've had another 27 in there.

since we're along the major axes, or the x axis, I just add and subtract this from the x coordinate to get these two coordinates right there.

Paint with curves

What this tells us is that we do parenthesis first and expeonentiation takes priority over everything else here, so we have to evaluate these exponents before we multiply anything or before we subtract anything.

Table 11 5.

Just subtract a 2 from both sides.

And remember that's only when you multiply or divide, not when you add or subtract.

Those are all binary operators.

Then to go from 9 to 3, well, we subtracted 6 again.

So that's d1, right there. d1.

If it's a binary operator, like ( ) or ( ), we'll have to do the Addition or Subtraction.

So 2x plus 9x is negative 7x plus 2.

A linear combination of these vectors means you just add up the vectors.

This says that Times and Divide are both left associative and they're very high precedence.

The third term is going to be 12 from the first term, or negative 6 subtracted twice.

Substract from memory

They only affect values that occur in the region between x1 and x2 and over here.

So we could add a to both sides of this equation and it will not change the inequality.