z=1+7i/(2-i)^2 eching

$$z = \frac { 1 + 7 i } { ( 2 - i ) ^ { 2 } }$$

z uchun yechish

$$z=-1+i$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

2 daraja ko‘rsatkichini 2-i ga hisoblang va 3-4i ni qiymatni oling.

$$z=\frac{1+7i}{3-4i}$$

\frac{1+7i}{3-4i}ning surat va maxrajini murakkab tutash maxraj 3+4i bilan ko‘paytiring.

$$z=\frac{\left(1+7i\right)\left(3+4i\right)}{\left(3-4i\right)\left(3+4i\right)}$$

\frac{\left(1+7i\right)\left(3+4i\right)}{\left(3-4i\right)\left(3+4i\right)} ichidagi ko‘paytirishlarni bajaring.

$$z=\frac{-25+25i}{25}$$

-1+i ni olish uchun -25+25i ni 25 ga bo‘ling.

$$z=-1+i$$

z'ni tayinlash

$$z≔-1+i$$