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anonymous
 4 years ago
10. find the 4th roots of the complex number z1=1+sqrt3+i
part1: write z1 in polar form
part2: find the mudulus of the root of z1
part3: find the four angles that define the 4th roots of the number z1
part4: what are the fourth roots of z1=sqrt3+i
anonymous
 4 years ago
10. find the 4th roots of the complex number z1=1+sqrt3+i part1: write z1 in polar form part2: find the mudulus of the root of z1 part3: find the four angles that define the 4th roots of the number z1 part4: what are the fourth roots of z1=sqrt3+i

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EarthCitizen
 4 years ago
Best ResponseYou've already chosen the best response.0\[z ^{4}=(1+\sqrt{3})+i\] is this the correct expression ?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0its acually z with a 1 at the bottom, and everything else is correct

EarthCitizen
 4 years ago
Best ResponseYou've already chosen the best response.0\[z _{1}=2.9<69.67^{o}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0you know how to find the muduus

EarthCitizen
 4 years ago
Best ResponseYou've already chosen the best response.0yh, the modulus is just adding and squaring the x and y components to find the square root of the two

EarthCitizen
 4 years ago
Best ResponseYou've already chosen the best response.0the \[z _{1}=2.9\]

EarthCitizen
 4 years ago
Best ResponseYou've already chosen the best response.0yh, what's the power of z ? it should be 4 ryt, since they need four roots ?

EarthCitizen
 4 years ago
Best ResponseYou've already chosen the best response.01.3<17.42, 1.3<107.42, 1.3<197.42 and 1.3<287.42

EarthCitizen
 4 years ago
Best ResponseYou've already chosen the best response.0the correct angles are 17.42,107.42, 197.42 and 287.42

EarthCitizen
 4 years ago
Best ResponseYou've already chosen the best response.0part 4. \[z _{1}=\sqrt{3}+i\]

EarthCitizen
 4 years ago
Best ResponseYou've already chosen the best response.0\[z _{1}= 2<30^{o}\] fourth roots in polar form 0.5<7.5, 0.5<97.5, 0.5<187.5 and 0.5<277.5

EarthCitizen
 4 years ago
Best ResponseYou've already chosen the best response.0to convert to rectangular form, use de Moivre's theorem, \[r=[\cos(\theta)+isin(\theta)]\]
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