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a fost răspuns

(7-4i)z=8+i
sa se rezolve ecuatia

Răspuns :

Cristinatibulca
z=a+bi, i²=-1
(7-4i)(a+bi)=8+i
7a+7bi-4ai-4bi²=8+i
7a+4b+(7b-4a)i=8+i

7a+4b=8  Ix4
-4a+7b=1  Ix7

28a+16b=32
-28a+49b=7

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/         65b=39, b=39/95=3/5
7a=8-4x3/5=28/5, 7a=28/35=4/5
z=4/5+3i/5