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.
Find all the solutions to z^4 = -4 - 5z^2
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z2sei x,dann gilt:
x2=−4−5xx2+5x+4=0x=−2.5±√6.25−4x∈{−4,−1}x=z2z2∈{−4,−1}
z∈{−2i,2i,−i,i}
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