help

[wooden trout]

Find all the values of (-1)^1/6

[mortal gazelle]

which part do u not understand?

[wooden trout]

Is this the correct answer ??? Or we have to solve it from de moivre's theorem

[wooden trout]

Why we are using x^3 ?????

[mortal gazelle]

give me a second

ill tell you

[blazing badger]

its just an algebraic step

[mortal gazelle]

this is wrong, this equation should have 6 solutions

[wooden trout]

Is this correct ???

[blazing badger]

thats probably the easier way to go about doing this problem

[mortal gazelle]

the argument of -1 is not 270

[blazing badger]

although idk if the specific algebra is correct

[mortal gazelle]

draw it on the argand diagram

do you know how to do that?

[wooden trout]

No 💀

[mortal gazelle]

thats fine

give me a second

an argand diagram has two axis, an imaginary one and a real one, it's really important to visualize complex numbers in this way because it makes everything a lot easier

if you notice on the left side, -1 lies 180 degrees away from the real axis

therefore the argument (which basically means the angle it makes from the real axis) of -1 is 180

[wooden trout]

So what will be its 6 solution??

[mortal gazelle]

represent the number in terms of cosine and sine like you did, but change the angle to pie (180 degrees"

and apply demoivres theorem

[wooden trout]

Okay thanks for the help 👍🏻

[vapid rover]

You can do it both ways, but your solution is not complete. Think about it is only i^2=-1 or is there another solution to the equation x^2=-1?

[mortal gazelle]

it'll be like this if you're confused

[alpine pike]

.solved