Prove-that-if-a-bi-is-a-root-to-pz-2-qz-r-0-where-a-b-p-q-r-R-then-a-bi-is-also-a-root-to-that-equation-

Question Number 98924 by Rio Michael last updated on 17/Jun/20

Prove that if a + b i is a root to

{p z}^{2} + q z + r = 0, where a, b, p, q, r \in R

then a - b i is also a root to that equation .