gshotzz
gshotzz gshotzz
  • 16-06-2017
  • Mathematics
contestada

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

Respuesta :

LammettHash
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

5 sentences on my favorite cartoon character
Solve for C a = b + c/d a. c=ad-b b. c= a+b/d c. c=ad/b d. c= ab+d
Which of the following is not true of The Canterbury Tales? a. It uses a frame narrative. b. It features an unreliable narrator. c. It was written in Middle Eng
According to the United States constitution, which action would be the most appropriate for the state government a. Printing newly designed $20 bills b. Estab
What is the 33rd term of this arithmetic sequence? 12, 7, 2, -3, -8, … a. -158 b. -157 c. -148 d. -147
what year was NAFTA signed?
Which sentence is written correctly? a. Zachary held his breath longer than any swimmer on his team. b. Nobody was as tired as Deepak was. c. Howard collecte
For how many years did the Berlin Wall,a symbol of the Cold War, remain standing? a. 17 yrs b. 45 yrs c. 28 yrs d. 10 yrs
The past tense of the verb go is a. went. b. going. c. go. d. gone.
Which historic era brought around the largest increase in air pollution? a. the rise of towns b. the invention of fire c. industrial revolutions d. the age