Algebra 2

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Algebra 2 Ch.5 Notes Page 36 P36 5-6 Complex
Numbers
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Number Systems
Natural 1,2,3 Whole 0,1,2,3 Integers -1,0,
1 Rational a/b (b ? 0) Irrational v2, p,
-v3 Real All Rational and Irrational Imaginary i
, -3i, 2i, iv5 Complex All Real and Imaginary (a
bi)
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Complex Numbers
Any Number of the form a bi a and b are real.
i is imaginary.
5 4i
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Imaginary Numbers
v-1 i
v-1 i (v-1)2 -1 (v-1)3 -i (v-1)4 1
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Simplify 8 v-16
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Finding Absolute Values
Distance from the Origin on the complex number
plane. Use the Pythagorean Theorem.
Complex Number Plane
3 -4i
a bi v(a2 b2)
v(a2 b2) v(32 (-4)2) v(9 16) v25 5
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Additive Inverse
Distribute a -1 through the entire Complex Number
Example -2 5i -1(-2 5i) 2 -5i
Find the Additive Inverse 4 - 3i
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Adding Complex Numbers
(5 7i) (-2 6i)
(8 3i) - (2 4i)
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Multiplying Complex Numbers
(5i)(-4i)
(6 5i)(4 - 3i)
4(2i)
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Finding Complex Solutions
-5x2 - 150 0
3x2 48 0
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HW 36 5-6 P278 1,7,15,18,20,23,25,27,29,35,36,4
1,45,57,59 Please put your name and class period
at the top of the homework. Also include the
homework number.