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What's on the worksheet
- Find all the roots asked for.
- Find all the roots asked for, each exactly in the form a + bi.the two square roots of 8 - 8\sqrt{3}\,ithe six sixth roots of −64
- The solutions of z³ = 8cis3π4 are the corners of a regular polygon.
- Let n be a positive integer, and let z and u be nth roots of unity.
- Re Im 1 + i 0 The six dots in the figure are the corners of a regular hexagon centered at 0.
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Roots of a complex number and roots of unity: the lesson ›More Chapter 9 worksheets: Polar coordinates and complex numbers in polar form
- 9.1Adding, subtracting and multiplying complex numbers
- 9.2Plotting polar points
- 9.3Converting between polar and rectangular
- 9.4Converting an equation between the two systems
- 9.5Polar circles and symmetry tests
- 9.6Limacons and cardioids
- 9.7Rose curves
- 9.8The complex plane, modulus and argument
- 9.9Modulus, argument and polar form
- 9.10Multiplying, powers and De Moivre's theorem
- 9.11Roots of a complex number and roots of unity