Let , where x and y are real numbers, then y

Engineering

Mathematics

Introduction to Complex Number

Rotation of Complex Number

polynomial function

Question

Let ${(- 2 - \frac{1}{3} i)}^{3} = \frac{x + iy}{27} (i = \sqrt{- 1})$ , where x and y are real numbers, then y – x equals

–85

–91

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$\frac{x + iy}{27} = - 8 + \frac{2}{3} - 4 \hat{i} + \frac{1}{27} \hat{i}$

x + iy = – 216 + 18 – $108 \hat{i} + \hat{i}$

$= - 198 - 107 \hat{i}$

y – x = 91