Solving Quadratics

Quadratic Equations

00:00:00
Announcement*
Remember whenever a question or statement appears, you must select the 'thumbs up' and then the 'next' arrow before you click the play button on the video.

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00:00:27
Why do you like math? *remember there is only one correct answer
- I don't.
- Because with it, I am mentally stronger
- I don't necessarily like it but I see that it is needed.
- Oh snap...I just want to get this question right.
- Did that guy say 2 + 2 = 3 ?
- Man there is a lot of choices!
- Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality. - Richard Courant
- Go with the one above?

00:00:44
What is this lesson about?
- Factoring
- Solving the problems of the world
- 'Back at it again with the white Vans'
- Solving Quadratic Equations

00:01:08
If a = x and b = 16, we have: x² = 16 .
Please solve: x² = 16
*Hint your answer should be similar to a =±√b
Write your steps and answers in the provided box

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00:01:27
Please write the part b equation and try to solve it. Continue once you are finished.

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00:01:46
What is the first step to solving this equation?
- add 3 to both sides
- subtract 4 from both sides
- square both sides
- square root both sides

00:01:51
Write down the problem and the steps. What is the next step to solving this equation?
- add 3 to both sides
- subtract 2 from both sides
- add 2 to both sides

00:02:14
y = 3 ± 2 is the same as_____________ .
- y = 3 + 2 or y = 2 - 3
- y = 3 + 2 or y = 2 + 3
- y = 3 - 2 or y = 2 - 3
- y = 3 + 2 or y = 3 - 2

00:02:22
The first step has been completed for you. Please solve the equation and input your answer before continuing.

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00:02:36
Are negative numbers real numbers?
- yes
- no
- no, only on Monday
- Yes, unless the negative number is inside a radical

00:02:43
What is the first step to solving this equation?
- FOIL
- Subtract 25
- square 25
- square root both sides

00:02:57
Whenever you use a square root symbol in solving quadratic equations will you always have a positive and negative answer?
- Yes
- No

00:02:58
What is -2 + 5 ? ________ .
What is -2 - 5 ? ________ .
- 3 or -7
- 7 or 3
- 'Back at it again with the...'

00:03:15
Write the equation and solve. Input your answer in the provided box before continuing.

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00:03:22
What are the factors of 28 and which factor's square root equals 2?
- 1,2,3,4,5,6,28
- 1,2,4,7,14,28

00:04:32
To form a perfect square trinomial, you have to take the middle term, divide it by 2, then square it (multiply by itself).

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00:04:55
To form a perfect square trinomial for part b, what should we do?
- divide 16 by 2 to get 8
- divide 16 by 8 to get 2
- divide 16 by 2 to get 8 and then square it
- divide 16 by 8 to get 2 then square it

00:05:21
Write the 2 remaining steps to Completing a square.
Step 1:
Step 2:
Step 3: add the number back to the original two terms.

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00:06:32
Take some time and write what is happening in the example.

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00:07:06
Write the problem and try to solve it.

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00:08:09
Write the problem and attempt to solve it.

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