Question Number 159453 by Avijit007 last updated on 17/Nov/21
$$\mathrm{x}\:{and}\:\mathrm{y}\:{are}\:{real}\:{value}\:{and} \\ $$$$\:\mathrm{x}+\mathrm{iy}=\frac{\mathrm{5}}{−\mathrm{3}+\mathrm{4}{i}}\:{find}\:\mathrm{x}\:{and}\:\mathrm{y}.\left(\mathrm{i}=\sqrt{−\mathrm{1}}\right) \\ $$
Commented by Avijit007 last updated on 17/Nov/21
$${help}. \\ $$
Answered by Ar Brandon last updated on 17/Nov/21
$${x}+{iy}=\frac{\mathrm{5}}{−\mathrm{3}+\mathrm{4}{i}}×\frac{−\mathrm{3}−\mathrm{4}{i}}{−\mathrm{3}−\mathrm{4}{i}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:=\frac{−\mathrm{15}−\mathrm{20}{i}}{\mathrm{9}+\mathrm{16}}=−\left(\frac{\mathrm{3}}{\mathrm{5}}+\frac{\mathrm{4}}{\mathrm{5}}{i}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:{x}=−\frac{\mathrm{3}}{\mathrm{5}}\:,\:{y}=−\frac{\mathrm{4}}{\mathrm{5}} \\ $$
Commented by Avijit007 last updated on 17/Nov/21
$$\left.{thank}\:{you}\::\:\right) \\ $$
Commented by Ar Brandon last updated on 17/Nov/21
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