Now we have a nice quadratic equation, and we can factor this thing on the left hand side.

So the first thing, when I look at these polynomials in the denominator, I say can I factor it somehow?

He takes his toys apart to see how they work.

And shame is really easily understood as the fear of disconnection

And when it dies, it falls to the bottom and then it rots, which means that bacteria break it down.

3x minus 7 needs to be equal to 0.

Times the cube root, cube root of 512 and lets think of what this might be

That's the problem.

So whichever version you find to be easier.

The plant has to split this molecule of water so it can get electrons from it.

And you'd be done.

Just like this, students can isolate anybody and dissect any way you want to.

Аль талаас нь ч эхэлж болно.

And you can see how it's being interpreted by the computer right over here.

The next thing to do, if we're going to decompose this into its components, we have to figure out the factors of the denominator right here, so that we can use those factors as the denominators in each of the components, and a third degree polynomial is much, much, much harder to factor than a second degree polynomial, normally.

We can just remember that that 1 is sitting out there out front.

We much prefer grammatical sentences.

That turned it into a separable equation in terms of v.

It was brilliant.

We have the equation 3 4x plus 2 is equal to 3 8x minus 4.

It's going to be able to this.

I can solve all that.

We finally have a plus 20 here, and now we can group them.

And I was able to solve for a and b.

And so there is this other unique material trait that these materials have, that they're programmably degradable.

So now we have a common denominator here.

And the punctuation, things like the periods, and also clues like capital

That's what our numerator is equal to.

We have x plus 3 times x minus 3.

You could actually write it 5 times 7.

And I'll copy and don't know if you can read it.

Can you make yourself understood in English?

Only the worthy can unlock the stone.

These variables, you can essentially assign values.

The highest degree here is 1, the highest degree here is 2, so we're ready to commence our partial fraction decomposition.

We never figured out t1 or t2.

And it was well enough preserved so we could determine the DNA from this individual, even to a greater extent than for the Neanderthals actually, and start relating it to the Neanderthal genome and to people today.

Here are the physics principles that tell you how to reduce the energy consumption of transport.

Still, what automated tools can find and what humans can find, is only correct with regard to the specification.

And now, we can simplify it.

Because you're going to make half of the recipe.

Now we're going to extend it to the actual quadratic formula that we can use, we can essentially just plug things into to solve any quadratic equation.

One of the interesting things about invisibility is, the things that we can's see, we also can't understand.

So this right over here is the base and we have percent times the base is equal to some amount.

So we have a 2x squared here and they already kind of hinted to us that we're going to have an integer solution, so we can factor this.