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Complex Numbers. Allow us to solve equations with a negative root. NB: these are complex conjugates usually notated as z and z. Operating on Complex Numbers in Rectangular Form (Cartesian form) . Multiplication 6x(3+5i) Addition & Subtraction (3+2i) + (6-i) (2-6i) – (8-4i) Division
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Allow us to solve equations with a negative root NB: these are complex conjugates usually notated as z and z
Operating on Complex Numbers in Rectangular Form (Cartesian form) • Multiplication • 6x(3+5i) • Addition & Subtraction • (3+2i) + (6-i) • (2-6i) – (8-4i) • Division • (3-2i)÷(-7+3i) 30.2 p.278 #2-4 30.3 p.280 even # 30.4 even # 30.6 p.282 #4-8
i 4 x -2 4-2i The Modulus • The modulus of a complex number represents its distance from the origin on an Argand diagram. • If a complex number is . . , then its modulus Example: Evaluate if Example: Evaluate