1096175
1096175 1096175
  • 04-08-2020
  • Mathematics
contestada

The number 16 has four fourth roots. In other words, there are four complex numbers that can be entered in the square in the equation below: __^4 = 16 Find them.

Respuesta :

Alfpfeu
Alfpfeu Alfpfeu
  • 15-08-2020

Answer:

Step-by-step explanation:

Hello, we know that the z complex solutions of

[tex]z^4=1[/tex]

are

1, i, -1, -i

so, the solutions of [tex]z^4=16=2^4[/tex] are

2, 2i, -2, -2i

Thank you

Answer Link

Otras preguntas

What changes were made in Utah during World War 1?
What is (7/12)/(5/9)? In simplest form..
is the earth getting heavier
An illegal drug stimulates the parasympathetic nervous system, causing the user to appear tranquilized. What could indicate to a paramedic whether or not the pe
prove that x^n-Y^n divisible by x-y for all natural numbers x,y (x!=y),and n.
there is $100 in my piggy bank. My friend and I went to the mall and i spent $20. How much money do i have now?
In a short response of at least three complete sentences, define flash-forward and explain its effect on a traditional plot structure
please help Evaluate the expression when r = 8.2 and s = –3.7. r – 2s A. –22.94 B. 0.8 C. 4.5 D. 15.6
outlaws of the Wild West were heroes of their time
what are three major water problems in southwest asia?please help!