1-solve-inside-C-z-12-1-and-give-the-solution-at-form-r-e-i-2-calculate-1-u-u-2-u-n-then-find-the-solution-of-z-C-z-8-z-4-1-0-

Tinku Tara June 4, 2023 Algebra 0 Comments

Question Number 31031 by abdo imad last updated on 02/Mar/18

1) solve inside C z^(12) =1 and give the solution at form r e^(iθ) 2)calculate 1+u +u^2 +... +u^n then find the solution of z∈C z^8 +z^4 +1=0

$$\left.\mathrm{1}\right)\:{solve}\:{inside}\:{C}\:\:{z}^{\mathrm{12}} =\mathrm{1}\:{and}\:{give}\:{the}\:{solution}\:{at}\:{form} \\ $$$${r}\:{e}^{{i}\theta} \\ $$$$\left.\mathrm{2}\right){calculate}\:\mathrm{1}+{u}\:+{u}^{\mathrm{2}} \:+…\:+{u}^{{n}} \:{then}\:{find}\:{the}\:{solution} \\ $$$${of}\:{z}\in{C}\:\:\:\:\:\:\:{z}^{\mathrm{8}} \:+{z}^{\mathrm{4}} \:+\mathrm{1}=\mathrm{0} \\ $$

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1-solve-inside-C-z-12-1-and-give-the-solution-at-form-r-e-i-2-calculate-1-u-u-2-u-n-then-find-the-solution-of-z-C-z-8-z-4-1-0-

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