Question 858175: I am struggling to find the complex solutions of
I am assuming that i has a value of 0, I'm not sure how to go about this. Found 2 solutions by Alan3354, harpazo:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! I am struggling to find the complex solutions of
I am assuming that i has a value of 0, I'm not sure how to go about this.
-----------
i <> 0
i = sqrt(-1)
---------- n = 0, 1, 2, 3
3cis(135), 3cis(225), 3cis(315)
You can put this solution on YOUR website! Take the fourth root of both sides.
4throot(z^4) = 4throot(-81)
z = 4throot(81)*4throot(-1)
z = 3*4throot(-1)
Can you finish now?
Simplify the fourth root of -1 and multiply by 3. This will give you the value of z.
