pleasehelp911 pleasehelp911
  • 01-03-2019
  • Mathematics
contestada

find all complex number solutions of x^5-1=0

Respuesta :

Аноним Аноним
  • 01-03-2019

Answer:

See below.

Step-by-step explanation:

x^5 = 1

x = 1^1/5.

We want the five complex roots of 1:-

Writing in polar form we have:

1 ^ 1/5 =  cos(2πk/5) + isin(2πk/5)

The 5 solutions are found by setting k = 0, 1, 2, 3 and 4.

First one = cos 0 + i sin 0 =  1

Second = cos (2π/5 + isin(2π/5)

= 0.3090 + 0.9511i.

The other 3 can be calculated in the same way.

Answer Link

Otras preguntas

what are two different numbers that round to 9.2 when rounded to the nearest tenth
The three isomers of pentane have different (1) formula masses (2) molecular formulas (3) empirical formulas (4) structural formulas
What Happens If You Mix Ammonia And Hydrogen Peroxide?
the caning of Charles sumner resulted from accusing other senators of
World war I ___ expressed disillusionment about reason and progress
why did Federigo spend his money beyond his means and end up with little farm and a falcon?
The power to recognize foreign nations is best categorized as part of which presidential role? commander in chief, chief executive, head diplomat, or first citi
A is a constant. Find A such that the equation 2x + 1 = 2A + 3(x + A) has a solution at x = 2.
Why does the Harlem Renaissance hold such significance in US history despite its fading influence during the Great Depression?
How many centimeters is 100 meters