Question

How many complex zeros does y = x^5 have?

Answer 1

no complex zeros.

Explanation:

The given equation is

`y=x^5`

To find the zeros equate y=0.

`x^5=0`

We know that, if n>0, then

`x^n=0\Rightarrow x=0`

So,

`x^5=0\Rightarrow x=0`

It means zero or root of the given equation is 0 with multiplicity 5.

Therefore, the given equation have no complex zeros.