1. Hey Guys.

I'm having trouble solving polynomial equations which use complex variables.

So for an example solve z^2 + 2z + 1 = 0
(i dont know what the answer to that is just made it up)

Anyway what is the procedure to solve such polynomials?

2.

3. Originally Posted by organic god
Hey Guys.

I'm having trouble solving polynomial equations which use complex variables.

So for an example solve z^2 + 2z + 1 = 0
(i dont know what the answer to that is just made it up)

Anyway what is the procedure to solve such polynomials?
You solve it as a quadratic equation just as you would with real variables. The only difference is that some roots (square roots in the case of quadratics) will exist that do not exist as real numbers. In this particular case Z= -1 with multiplicity 2.

4. There is an important lesson in abstraction here - go through the derivation of the quadratic equation solution and see what formal properties you use (existence of identities etc).

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