Find all of the solutions of the equation x4-625i=0 and represent the solutions graphically.

what is the next step to answer the question?
(x^2-25√i)(x^2+25√i)
(x-5∜i)(x+5∜i)(x-5∜i i)(x+5∜i i)
i = 1 cis π/2
∜i = ∜1 cis π/8

1 answer

x^4=625@(90+N360)
x^2=+-25@(45+n180)
x=5@(22.5+n90)

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you can convert these to complex numbers if you wish, but I wouldn't.

Graphically: plot it polar, real axis to the right, imag upward, then draw rays of length 5 at the indicated angles.
check my work.
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