Заданы комплексные числа z¹=1-i и z²=1+i . Created by veronikavitaly. algebra-ru

Заданы комплексные числа z¹=1-i и z²=1+i ...

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August 2022 1 46 Report

Заданы комплексные числа z¹=1-i и z²=1+i

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Kазак

Ответ:

Объяснение:

w = $w=\frac{2(1-i)}{1+i} + (1+i)$

Домножим числитель и знаменатель дроби на комплексное число, сопряжённое знаменателю

$w=\frac{2(1-i)*(1-i)}{(1+i)*(1-i)} + (1+i) = \frac{2(1^{2}-2i+i^{2})}{(1^{2}-i^{2})} + (1+i) = \frac{2(1-2i-1)}{(1+1)} + (1+i) = \frac{2(-2i)}{2} + (1+i) = -2i + 1+i = 1-i$

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