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Find all the solutions to z^4 = -4 - 5z^2 in complex numbers.

 

Express all the solutions in the form a + bi, where a and b are real numbers.

 Dec 7, 2022
 #1
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z^4 + 5z^2 + 4 = 0

z^2 = x

x^2 + 5x + 4 = 0

(x + 4)(x + 1) = 0

x = -4 and -1

z^2 = -4

z^2 = -1

z = +-2i

z + +-i

 Dec 7, 2022

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