Algebra 2 Warm up
11.12.13
Solve Each Equation
x

2

9 0

x 3 125 0

2 x 2 50 0
And now it’s time for..
The Lame Joke of the day..
What did the turkey say to the computer?
Google, Google, Google.
Definition
We know that

2 because (-2)(-2) =4

4

But how do you find

and (2)(2) =4

4 ?

It is not possible to multiply...
Compare
Real

9

25
11

50

Imaginary

3

9

3i

5

25

5i

11

11

i 11

25 2 5 2

50

25 2 5i 2

Summary: You take the s...
To simplify imaginary numbers
1. Imaginary numbers are like terms:
Ex: 5i + 3i = 8 i

2. Remember: i 2
1
3. Remove all neg...
Examples
16
4i 7i
3i

49

i 2 3i 2
4i 2

4

25

2i 5i
10i

2

10
More Examples
Most complicated:

i 2 i 3
i2 6
6

2
i

2 i
i i
2i
2
i

6
2
2i

6
i 2

6 i 2
i 2 i 2
6i 2 6i 2
2i 2
2
3i 2
Practice these on your own
• The solutions are on the next slide.
3

64

4
3i

9
3i 2

7
2i

2i 6i
i 7

4

2

8

4

18

9
Check your answers
• ANSWERS:
64
9

3i

3i 2

4

4
3i
7

7

7
2

2i

12
2

6i

4
i
3

3

2i 6i
i 7

3

8i

8
4

18

5i 2

...
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Algebra 2 warm up 11.12.13

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Algebra 2 warm up 11.12.13

  1. 1. Algebra 2 Warm up 11.12.13 Solve Each Equation x 2 9 0 x 3 125 0 2 x 2 50 0
  2. 2. And now it’s time for.. The Lame Joke of the day.. What did the turkey say to the computer? Google, Google, Google.
  3. 3. Definition We know that 2 because (-2)(-2) =4 4 But how do you find and (2)(2) =4 4 ? It is not possible to multiply to numbers together that are the same and get a negative number. Therefore we need what is called imaginary numbers: DEFINITION: i Now we can simplify 1 AND 4 i2 4 1 1 4 i 2i
  4. 4. Compare Real 9 25 11 50 Imaginary 3 9 3i 5 25 5i 11 11 i 11 25 2 5 2 50 25 2 5i 2 Summary: You take the square root as normal, but place an “i” to get rid of the negative.
  5. 5. To simplify imaginary numbers 1. Imaginary numbers are like terms: Ex: 5i + 3i = 8 i 2. Remember: i 2 1 3. Remove all negatives under square roots before you do anything. 4. You can’t divide by an imaginary number.
  6. 6. Examples 16 4i 7i 3i 49 i 2 3i 2 4i 2 4 25 2i 5i 10i 2 10
  7. 7. More Examples Most complicated: i 2 i 3 i2 6 6 2 i 2 i i i 2i 2 i 6 2 2i 6 i 2 6 i 2 i 2 i 2 6i 2 6i 2 2i 2 2 3i 2
  8. 8. Practice these on your own • The solutions are on the next slide. 3 64 4 3i 9 3i 2 7 2i 2i 6i i 7 4 2 8 4 18 9
  9. 9. Check your answers • ANSWERS: 64 9 3i 3i 2 4 4 3i 7 7 7 2 2i 12 2 6i 4 i 3 3 2i 6i i 7 3 8i 8 4 18 5i 2 9 6
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