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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 11, 2022
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Find all the solutions to z^4 = -4 - 5z^2

 

Hello Guest!

 

\(z^2sei \ x,\\ dann\ gilt:\)

\(x^2 = -4 - 5x\\ x^2+5x+4=0\\ x=-2.5\pm\sqrt{6.25-4}\\ x\in\{-4,-1\}\\ x=z^2\\ z^2\in\{-4,-1\}\)

\(\color{blue}z\in\{-2i,2i,-i,i\}\)

laugh  !

 Dec 11, 2022

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