Multiple choice

The roots of the equation$\displaystyle\ 1+z^{3}=0$ are represented by the vertices of

  1. a square

  2. an equilateral triangle

  3. a rhombus

  4. none of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The roots of 1 + z^3 = 0 are z^3 = -1. These are the cube roots of -1, which are located at equal intervals on a circle in the complex plane, forming an equilateral triangle.

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