Complex Roots, Cubic Equation, Equilateral Triangle in Argand Diagram and its Area

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We learn how to find the complex roots of a cubic equation. We also learn how to show that the roots form the vertices of an equilateral triangle in the Argand diagram as well as how to calculate its area.

This question was originally written for an IB HL Mathematics class.
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Q 2: Alternatively, the angle at the centre is twice the angle at the circumference.

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