gshotzz gshotzz

16-06-2017
Mathematics

contestada

HELP!!
Which expression is the cube root of -1+i[tex] \sqrt{3} [/tex]

Respuesta :

LammettHash LammettHash

16-06-2017

[tex]z^3=-1+i\sqrt3=2e^{i2\pi/3}[/tex]

[tex]\implies z=\left(2e^{i2\pi/3}\right)^{1/3}=\begin{cases}2^{1/3}e^{i2\pi/9}\\2^{1/3}e^{i8pi/9}\\2^{1/3}e^{i14\pi/9}\end{cases}[/tex]

Answer Link

Otras preguntas

Select the approximate values of x that are solutions to f(x) = 0, wheref(x) = -9x^2 + 7x + 2

In the new cities of the 1800s, streetcars were to the suburbs and residential neighborhoods as glass and steel were to A. palatial mansions of the rich. B. f

What did king James I grant groups of merchants to organize settlements in america

Who played a significant role in the construction of the Wilderness Road?

A=3n+1 solving for n

20x+5y=-15 solve for y

2³¹ + 2³⁰ + 2²⁹ = x · 2²⁸x=?

Find the equation of the line that fits the description (-7, -9) and has zero slope

The National _______ Act of 1902, provided proceeds from the sale of public lands for the construction of dams, canals, and irrigation systems in sixteen Weste

What was the strongest German state?