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QUADRATIC FORMULA

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OBJECTIVE FOR THE DAY

  • Review over completing the square
  • Prove the quadratic equation
  • Go over the quadratic equation
  • Go over a few examples
  • Now try some on your own!(HW #34)

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Review: Completing the square

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Review example #1

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Review example #2

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So, is there a way for us to solve for x, regardless of the quadratic?

Yes there is!

It actually comes from the definition of a quadratic equation, and doing some completing the square.

So, here’s how it was discovered!

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So let’s start with the definition of a quadratic

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And that’s how we get “The Beast”

So, if there’s ever a time you can’t figure out the answer to a quadratic equation, use the quadratic formula.

Again, this is why it is important to have the elements in the quadratic equation labeled.

So, let’s see how this formula works out.

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The quadratic equation works

every

single

time.

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Example 1

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AND THAT’S HOW IT’S DONE

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EXAMPLE 2

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EXAMPLE 3

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EXAMPLE 4

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EXAMPLE 5

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EXAMPLE 6

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Example 7

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And that’s it for quadratics

That’s everything when it comes to quadratics.

Again, the easiest way we can solve is by factoring.

The next easiest way is completing the square.

When that doesn’t seem doable (or maybe too hard) we feed it into the beast.

So, of course, after every power point we have….

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Now try some on your own:

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RECAP

  • What are you expected to know?
  • How to solve any quadratic.
  • You know how to factor,
  • You know how to complete the square
  • And now you know how to use the quadratic equation