cmi-entrance 2018 QA6

cmi-entrance · India · ugmath 4 marks Complex numbers 2 Solving Polynomial Equations in C
Consider the equation $$z^{2018} = 2018^{2018} + i$$ where $i = \sqrt{-1}$.
(a) How many complex solutions does this equation have?
(b) How many solutions lie in the first quadrant?
(c) How many solutions lie in the second quadrant?
Consider the equation
$$z^{2018} = 2018^{2018} + i$$
where $i = \sqrt{-1}$.

(a) How many complex solutions does this equation have?

(b) How many solutions lie in the first quadrant?

(c) How many solutions lie in the second quadrant?