Thread: Complex roots in conjugate pairs

Given that , where p and q are real and , is a root of the equation

where are all real, prove that is also a root.

This is the first part of the question, its the harder part. Second part is about finding constants from roots, two of which are complex.
How do I start? I know its true, but how do I prove it?
Thanks

Originally Posted by arze

Given that , where p and q are real and , is a root of the equation

where are all real, prove that is also a root.

This is the first part of the question, its the harder part. Second part is about finding constants from roots, two of which are complex.
How do I start? I know its true, but how do I prove it?
Thanks

http://en.wikipedia.org/wiki/Complex...e_root_theorem