Hello everyone,
Let w be one of the three complex numbers having the property that
w^3 = -4 + 4*sqrt(3)i.
What is the |w|?
Also if a = 2Re(w) how can one show that a is a root of the polynomial:
p(z) = z^3 - 12z + 8.
Thanks for your time.
Hello everyone,
Let w be one of the three complex numbers having the property that
w^3 = -4 + 4*sqrt(3)i.
What is the |w|?
Also if a = 2Re(w) how can one show that a is a root of the polynomial:
p(z) = z^3 - 12z + 8.
Thanks for your time.
Thanks!
Part b is related to the first part, so
a= 2*Re(w) where w is the be one of the three complex numbers having the property that w^3 = -4 + 4*sqrt(3)i.
Then I must show that a is a root of the polynomial z^3 - 12*z + 8.
And the polynomial is p(z) = z^3 - 12z + 8
Thanks in advance.