answersLogoWhite

0


Best Answer

z = 1 + 0i

So

|rz| = 1 and az = 0 radians.

which allows you to write z = rz*cos(az) + i*sin(az)

Then, if y = z1/3 then

|y| = |z1/3| = |11/3| = 1

and

ay is the angle in [0, 360) such that 3*ay = 0 mod(2*pi)

that is, ay = 0, 2pi/3 and 4pi/3

And therefore,

Root 1 = cos(0) + i*sin(0)

Root 2 = cos(2pi/3) + i*sin(2pi/3) and

Root 3 = cos(4pi/3) + i*sin(4pi/3).

User Avatar

Wiki User

11y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How do you find the complex cube roots of 1 plus 0i?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

How do you find cube roots on a TI 84 Plus?

push math>>scroll down to number 4


How do you factor 3x4 minus 12x3 plus 4x minus 16 and find the complex zeros?

(x - 4)(3x^3 + 4) The complex roots are the cube root of negative one third times two to the two thirds power and negative two to the two thirds power divided by the cube root of three


How many complex roots does 6x4 plus x3 - 5 equals 0 have?

It has two complex roots.


How many roots does 3x2 plus 4x plus 3 have?

two complex


Roots of the equation x 2 plus 5x plus 7 equals 0 will be?

There are no real root. The complex roots are: [-5 +/- sqrt(-3)] / 2


3x2 plus 8x plus 4 has two complex roots?

3x^2 + 8x + 4 = (x+2) (3x+2) x = -2 x = -2/3 So there are no complex roots, they are real. You can test this by b^2 - 4ac if greater than 0, it is real if equal, there will be 2 identical roots. if less than 0 you get imaginary roots.


What are the roots of the polynomial x2 plus 3x plus 5?

You can find the roots with the quadratic equation (a = 1, b = 3, c = -5).


How do you solve 34x3-x2 plus 23?

If you graph it, you will find there is only one real root at approx x = -0.868145. The other 2 roots are complex numbers. I don't remember the steps, to get that.


What is the cartesian form of this complex no 1 plus i cube?

(1+i)3 = 1 + 3i - 3 - i = -2 + 2i This is a complex number, and therefore cannot be plotted on a Cartesian plane.


What is the answer if you Find all the roots of the equation x4 - 2x3 plus 14x2 - 18x plus 45 0 given that 1 plus 2i is one of its roots.?

The four roots are:1 + 2i, 1 - 2i, 3i and -3i.


What is 4 cube plus 5 cube?

9 cube !


How do you find the sum of the roots of the equation x2 plus 5x plus 9 equals 0?

This quadratic equation has no real roots because its discriminant is less than zero.