Question Number 158417 by LEKOUMA last updated on 03/Nov/21
$${z}^{\mathrm{3}} −\left(\mathrm{7}+\mathrm{6}{i}\right){z}^{\mathrm{2}} +\mathrm{3}\left(\mathrm{1}+\mathrm{9}{i}\right){z}+\mathrm{2}\left(\mathrm{7}−\mathrm{9}{i}\right)=\mathrm{0} \\ $$$${Resolve}\:{the}\:{equation}\:\left({E}\right)\:{sachet}\:{that}\: \\ $$$${the}\:{stop}\:{image}\:\:{one}\:{any}\:{solution}\:{behoves} \\ $$$${thru}\:{the}\:{righ}\:{t}\:{equation}\:{y}={x} \\ $$
Answered by MJS_new last updated on 03/Nov/21
$$\mathrm{I}\:\mathrm{don}'\mathrm{t}\:\mathrm{understand}\:\mathrm{the}\:\mathrm{meaning}\:\mathrm{of}\:\mathrm{your}\:\mathrm{text} \\ $$$$\mathrm{but}\:\mathrm{I}\:\mathrm{can}\:\mathrm{solve}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{for}\:{z} \\ $$$${z}_{\mathrm{1}} =\mathrm{4}+\mathrm{2i} \\ $$$${z}_{\mathrm{2}} =\mathrm{1}+\mathrm{i} \\ $$$${z}_{\mathrm{3}} =\mathrm{2}+\mathrm{3i} \\ $$