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

$$\mathrm{Prove}\mathrm{that}\mathrm{if}a+bi\mathrm{is}\mathrm{a}\mathrm{root}\mathrm{to}$$$${pz}^2+qz+r=0,\mathrm{where}a,b,p,q,r\in \mathbb{R}$$$$\mathrm{then}a-bi\mathrm{is}\mathrm{also}\mathrm{a}\mathrm{root}\mathrm{to}\mathrm{that}\mathrm{equation}.$$

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