# How do I solve this complex equation? Thanks!?

Determine all the solutions to following equation:

z^4-z^3+z-iz-i+1=0

i^2 = -1

one solution is z=1

Thanks!

### 1 Answer

Relevance

- gAytheistLv 67 years ago
Actually, 1 is NOT a solution. Just substitute 1 into the expression to get

1 - 1 + 1 -i -i + 1 = 2 -2i ≠ 0

In fact, z =-1, or ±i are not solutions.

Are you sure you wrote down the equation correctly? I tried Wolframalpha.com on the problem and it was able to find all 4 roots but they're all complex and messy.

Still have questions? Get your answers by asking now.