24/1-i eching

$$\frac { 24 } { 1 - i }$$

Baholash

$$12+12i$$

Yechim qadamlari

Ham hisoblagich, ham maxrajni maxraj kompleksiga murakkablash orqali ko'paytirish, 1+i.

$$\frac{24\left(1+i\right)}{\left(1-i\right)\left(1+i\right)}$$

Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\frac{24\left(1+i\right)}{1^{2}-i^{2}}$$

Ta’rifi bo‘yicha, i^{2} – bu -1. Maxrajini hisoblang.

$$\frac{24\left(1+i\right)}{2}$$

24 ni 1+i marotabaga ko'paytirish.

$$\frac{24\times 1+24i}{2}$$

24\times 1+24i ichidagi ko‘paytirishlarni bajaring.

$$\frac{24+24i}{2}$$

12+12i ni olish uchun 24+24i ni 2 ga bo‘ling.

$$12+12i$$

Ashyoviy qism

$$12$$

Yechim qadamlari

\frac{24}{1-i}ning surat va maxrajini murakkab tutash maxraj 1+i bilan ko‘paytiring.

$$Re(\frac{24\left(1+i\right)}{\left(1-i\right)\left(1+i\right)})$$

Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$Re(\frac{24\left(1+i\right)}{1^{2}-i^{2}})$$

Ta’rifi bo‘yicha, i^{2} – bu -1. Maxrajini hisoblang.

$$Re(\frac{24\left(1+i\right)}{2})$$

24 ni 1+i marotabaga ko'paytirish.

$$Re(\frac{24\times 1+24i}{2})$$

24\times 1+24i ichidagi ko‘paytirishlarni bajaring.

$$Re(\frac{24+24i}{2})$$

12+12i ni olish uchun 24+24i ni 2 ga bo‘ling.

$$Re(12+12i)$$

12+12i ning real qismi – 12.

$$12$$