How many complex solutions does the equation x3 = 1 have?
A)
1
B)
2
C)
3
D)
4

Question

How many complex solutions does the equation x3 = 1 have?
A)
1
B)
2
C)
3
D)
4

loser66 · Answer

2

zepdrix · Answer

$$\Large\rm x^3=1$$$$\Large\rm x=\sqrt[3]{1}$$One of these solutions is clearly, $\Large\rm x=1$.

Complex solutions `always` come in pairs.
So we either have 0 or 2 complex solutions.

zepdrix · Answer

Since zero is not one of your options, that should narrow things down for you, hehe ;)

zepdrix · Answer

Oh, and another important note,
we always have a number of solutions equal to the degree of x.

zepdrix · Answer

?

zepdrix · Answer

Sure, you can do that.
My way works also though..

zepdrix · Answer

If this is for Algebra or something, then yes you wouldn't want to approach it the way that I did.

I just took a course on complex analysis so it's still really fresh in my mind :3
All these goofy ways you can solve things hehe