Posted by **Jack** on Wednesday, December 6, 2006 at 12:35am.

Find the 5 roots of x^5+1=0 in polar and Cartesian form. (x^5 means x to the 5th power)

x^5 = -1 = e^[i (2n + 1) pi]

where i is any integer

x = [e^[i (2n + 1) pi]]^(1/5)

= e^(i pi/5)= cos pi/5 + i sin (pi/5)

= e^(3 i pi/5)

= cos (2 pi/5) + i sin (2 pi/5)

etc.

## Answer this Question

## Related Questions

- maths/ physics - Determine the two square roots of 3+j4 in both a)Cartesian form...
- pre-calculus - find the cube roots of -216 answer in polar form
- pre-calculus - find the cube roots of -216 answer in polar form and complex
- Maths - Polar Coordinate Systems - I've recieved an assignment to investigate ...
- Pre-calculus; urgent ! Please help ! - 1.Graph the polar equation r=3-2sin(theta...
- calculus - for what value of r=4sinč have vertical tangent? In polar coordinates...
- pre-algebra - find the product: (4k to the 5th power)(-2k)to the 3rd power. 5th ...
- math - Express z = 1 + 2j in polar form then find z^3 then convert the answer to...
- Pre Cal. - Express 5sqrt(3) - 5i in polar form. A: 10(cos(11pi/6) + i sin(11pi/6...
- Pre-Algebra - Find each product or Quotient. Express using exponents. 1. The ...

More Related Questions