One of the solutions of equation z^3=w is z1=-5*3^0.5+5i . What is one of other two solutions ifw is a complex number?
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Step-by-step explanation:
z
3
+ w
7
= 0
⇒ z
3
=−w
7
-(1)
z
5
w
11
=1
⇒ z
5
=
w
11
1
-(2)
Dividing (2) by (1),
z
2
= −
w
18
1
=−1 ...(since w
3
= 1)
⇒z=
−1
⇒z=+i
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