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1/(1+z^4)

I guess the problem is to solve the equation 1+x^4=0 and get complex roots but this is what I don't remember how to do. Thanks.

- Thread starter Logarythmic
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- #1

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1/(1+z^4)

I guess the problem is to solve the equation 1+x^4=0 and get complex roots but this is what I don't remember how to do. Thanks.

- #2

Office_Shredder

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Start off by substituting v=x^{2}, and try to go from there

- #3

TD

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- #4

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Hint: $w^2+1=(w+i)(w-i)$

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- #6

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Well, use the decomposition

[tex]z^4 +1 =(z^2 +i)(z^2 -i) [/tex]

Daniel.

[tex]z^4 +1 =(z^2 +i)(z^2 -i) [/tex]

Daniel.

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