z=i^3-1+2i/2-i eching

$$z = i ^ { 3 } - \frac { 1 + 2 i } { 2 - i }$$

z uchun yechish

$$z=-2i$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

3 daraja ko‘rsatkichini i ga hisoblang va -i ni qiymatni oling.

$$z=-i-\frac{1+2i}{2-i}$$

\frac{1+2i}{2-i}ning surat va maxrajini murakkab tutash maxraj 2+i bilan ko‘paytiring.

$$z=-i-\frac{\left(1+2i\right)\left(2+i\right)}{\left(2-i\right)\left(2+i\right)}$$

\frac{\left(1+2i\right)\left(2+i\right)}{\left(2-i\right)\left(2+i\right)} ichidagi ko‘paytirishlarni bajaring.

$$z=-i-\frac{5i}{5}$$

i ni olish uchun 5i ni 5 ga bo‘ling.

$$z=-i-i$$

-2i olish uchun -i dan i ni ayirish.

$$z=-2i$$

z'ni tayinlash

$$z≔-2i$$