Download Warm Up Alg 2 9-3 Simplify: 1. 2. 3. 4. Solve x2 + 2

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November 09, 2011
Warm Up Alg 2 9-3
Simplify:
1.
2.
4. Solve
2
x + 2 = 100
3.
November 09, 2011
#9-2 p. 267?
November 09, 2011
We've been solving quadratic equations by factoring
0 = 3x2 + 14x - 5
We can solve by isolation if there is no b term
0 = 3x2 - 10
November 09, 2011
Try solving this one:
3x2 + 10 = -65
November 09, 2011
is imaginary!
We let i =
then
2
The answer to 3x + 10 = -65
is
This is a pure imaginary number. Sometimes, an answer is a
combination of real and imaginary.
November 09, 2011
Solve (z + 5)2 = -16
The answer is "complex" a + bi, where i =
the real part is _______
i2 = ?
the imaginary part is ________
November 09, 2011
We can add, subtract, and multiply complex numbers..
1. (3 - 2i) + (2 - 5i) =
2. (3 - 2i) - (2 - 5i) =
3. (3 - 2i) (2 - 5i) =
4. (5 - 3i)2 =
5. (8 + 2i)(8-2i) =
November 09, 2011
(8+2i) and (8-2i) are called conjugates. Their product is all
real.
What's the conjugate of 7-2i ?
3+i?
November 09, 2011
We can even divide complex numbers:
November 09, 2011
#9-3 p. 277 1,2, 17-28 all, 39 - 63 / 3, 92, 95
November 09, 2011
November 09, 2011
November 09, 2011
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