If I did it to the left hand side I have to do it to the right hand side.

And then we have all of that over negative 20.

Those are the types of things that you will look at and feel.

The minus 1 times negative 2.

We have x's on both sides of the equation.

Absolute value of negative 3 is positive 3.

So be careful when you take that square root.

60 plus 10 is 70.

This would be positive.

So then this becomes a plus.

Of course, we have our dt, and you have a minus minus.

Let's just take that minus out.

So that's a minus times a minus.

Negative times a negative give me a positive.

So if a is 8 we could rewrite that expression I'll switch colors arbitrarily as x squared plus 16x plus a squared.

So these two would be the same thing as subtracting 550.

Well this is the same thing as (ax b) times (ax b) which is the same thing as ax times ax. ax times ax is the same thing is a 2 x 2 plus ax times b which is abx plus b times ax which is another bax or abx plus b times b.

That is equal to 92 degrees.

And you might want to think about why we have that plus or minus.

Now let's add that pink p to both sides of this equation.

For K 7, this minus data point will have 4 pluses, 3 minuses over here, and then everything in the vicinity becomes positive, so it must be 4 plus and it will be mis classified.

Let's say it's a helium atom.

I had 63 seats, I'm now adding 18 seats.

And because I have a negative divided by a negative, the negatives cancel out, so my answer will still be positive six (6)!

A positive times a negative is a negative.

The area of this triangle is 6.

So, in this example, a is minus 10. b is minus 9, and c is 1.

That's the 22 right there.

So that first value, on this number line, so all of these are absolute values.

So that's another rule.

Boy, I'm glad that was not too difficult to find.

And we have a negative times a negative. They cancel out.

So if I'm borrowing 500, I have to give them back the 500 in two weeks plus 25 for every 100.

So in theory this should be able to be factored as x minus 3 times x plus 19 is equal to 0.

And so we know that this left hand side of this equation is x minus a or x plus a, but a is a negative number.

So that's one root.

That's right.

Minus times minus 1 is positive 1.

So let's just make that times plus 2 and put the plus out there.

So as x approaches infinity, or x approaches negative infinity.

We can take the square root of this.

Well, it equals, this is nothing.

Because f of x equals 0 when you're intersecting the x axis.

So this is giving a relationship between x and y.

And then negative 1 3 times negative 2, negatives cancel out, you get plus 2 3.