2.4 Complex Numbers Standard form of a complex number a + bi Adding and Subtracting complex numbers (3 – i) + (2 + 3i) = 2i + (-4 – 2i) = 3 - (-2 + 3i)

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2.4 Complex Numbers Standard form of a complex number a + bi Adding and Subtracting complex numbers (3 – i) + (2 + 3i) = 2i + (-4 – 2i) = 3 - (-2 + 3i) + (-5 + i) = 5 + 2i -4 -2i

Multiplying Complex numbersNote: i 2 = -1 (i)(-3i) = (2 – i)(4 + 3i) = (3 + 2i)(3 – 2i) = -3i 2 = i – 4i – 3i 2 = i 9 – 4i 2 = = 13 Dividing Complex numbers -6

Note: -6 -3

Use the quadratic formula to solve 0 = 3x 2 – 2x + 5

i 1 = i i 2 = -1 i 3 = -i i 4 = (i 2 ) 2 =(-1) 2 = 1 i 5 = i What does i 36 =(i 2 ) 18 =(-1) 18 =1 i 53 = i