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Question Number 146988 by mathdanisur last updated on 16/Jul/21

$$if\frac{{\mathit{z}}^2+4}{\mathit{z}-2\mathit{i}}=-5+10\mathit{i}$$$$findRe\left(Z\right)+Im\left(Z\right)=?$$

Commented by aliibrahim1 last updated on 17/Jul/21

$$z^2+4=(z-2i)(z+2i)$$$$\frac{(z-2i)(z+2i)}{z-2i}=-5+10i$$$$z+2i=-5+10i$$$$z=-5+8i$$$$Re\left(z\right)=-5$$$$Im\left(z\right)=8$$$$-5+8=3$$

Commented by mathdanisur last updated on 17/Jul/21

$$thankyouSer$$

Commented by aliibrahim1 last updated on 17/Jul/21

$$youarewelcome$$

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