Linear Algebra Zeros

[knutarve12]

Hello, I need to find the real/complex zeros for the following polynom:

t^9 - 1

Here I also need to use the exponential form of complex numbers

 

[Steven G]

I will help you with one of them and then you show your work for the others.
t=1 is a zero.
Did you notice that you have the difference of cubes? Will that help?

 

[Deleted member 4993]

Hello, I need to find the real/complex zeros for the following polynom:

t^9 - 1

Here I also need to use the exponential form of complex numbers

Hint:

Use

cos[2*n*\(\displaystyle \pi \)] + i * sin[2*n*\(\displaystyle \pi \)] = 1

 

[Steven G]

Where n is an integer

 

[Deleted member 4993]

Where n is an integer

Correct - but hints can be "incomplete" (not wrong).

 

[Steven G]

Correct - but hints can be "incomplete" (not wrong).

I never said it was wrong, I just added onto it.

 

[pka]

I need to find the real/complex zeros for the following polynom:
t^9 - 1 Here I also need to use the exponential form of complex numbers

You are asking about the nine ninth roots of \(1\).

These are \(\exp\left(\dfrac{2k i\pi}{9}\right),~k=0,1,\cdots 8\)