SOLUTION: I am struggling to find the complex solutions of {{{ z^4= -81 }}}
I am assuming that i has a value of 0, I'm not sure how to go about this.
Algebra.Com
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)
Answer by harpazo(655) (Show Source): 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.
RELATED QUESTIONS
Hello!
I am stuck! I am to find all the solutions in the complex number set of Z^5=-32
(answered by Alan3354)
I have to find all the real number solutions of:
x^3-216=0
but I am not sure how to (answered by ankor@dixie-net.com)
I must use the discriminant to determine the number of solutions of the quadratic... (answered by philline_palana)
I am so confused on how to find the rest of the zeroes. All I am given is this:... (answered by KMST)
I am having a tough time with these problems on this one I must use the discriminate to... (answered by Theo)
I am just not understanding these type of problems. For this problem I need to use the... (answered by ankor@dixie-net.com)
what is 3/4 = x/12, i think i am to find value of x???? am not... (answered by josmiceli)
What is the value of the discriminant of x^2-5x-14=0?
A) 81
B) 31
C) -31
D) -81... (answered by stanbon)
M is the midpoint of segment PQ. Find PQ if PM = 5x+3 and MQ = 2x+12
I am not sure how (answered by ewatrrr)