Question

find a quadratic equation with the roots -1+4i and -1-4i.
please help

Answer 1

You can simply put (z-(-1+4i))*(z-(-1-4i)) and make some simplifications.

Answer 2

how would I do that...I really suck at this and just trying to pass this class

Answer 3

I don't wanna give you all the answer but this should make it easier:\[(z-(-1+4i))*(z-(-1-4i))=z ^{2}+2z+(1-4i)(1+4i)\] The rule for simplifying the last term is \[(a-b)(a+b)=a ^{2}-b ^{2}\] With \[i ^{2}=-1\]

Answer 4

thank you

Answer 5

you're welcome !