De Moivre's Theorem and quadratics
a) Find all solutions of the equation. (Write your answers in the form a + bi. Enter your answers as a comma-separated list.)
Answers I got for this is -2 + 2i and -2-2i..I assume you just use the quadratic formula and solve..is that right?
b) Find the indicated power using De Moivre's Theorem. http://www.webassign.net/latexImages...427f415f3e.gif
Don't know if I did it right, but I got 1024i for this problem..can someone verify?
Please help me to find out,A problem on De Moivre`s theorem
First i apologize if i have posted at wrong place....
The problem is here:
Solve x^8+x^5+x^3+1 by using De Moivre`s theorem
An example in my book might help(didnt helped me at at all)
The equation can be written as
x^4-x^3+x^2-x+1 = (x^5+1)/(x+1)
Hence the required roots of x^5+1 = 0 are same as those of (x^4-x^3+x^2-x+1)(x^5+1)
The equation (x^5+1) gives x^5 = -1 or x = (-1)^1/5
(......and so on)
Now what my trouble is how i can find equation like (x^5+1) for my problem stated at start of post?
I am newbie and poor in maths so little more explanation will help lot