Решите уравнение z(Im z

bubin5 @bubin5

August 2022 1 7 Report

Решите уравнение
z(Im z - 4)=10-4i

Answers & Comments

ShirokovP

Verified answer

Z = x + yi

(x + yi)(y - 4) = 10 - 4i
xy - 4x + y^2i - 4yi = 10 - 4i
xy - 4x + i(y^2 - 4y) = 10 - 4i

Система
xy - 4x = 10
y^2 - 4y + 4 = 0

xy - 4x = 10
(y - 2)^2 = 0

x = - 5
y = 2

z = - 5 + 2i

3 votes Thanks 5

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