z/z-8=-1-2i eching

$$\frac { z } { z - 8 } = - 1 - 2 i$$

z uchun yechish

$$z=6+2i$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

z qiymati 8 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini z-8 ga ko'paytirish.

$$z=\left(-1-2i\right)\left(z-8\right)$$

-1-2i ga z-8 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$z=\left(-1-2i\right)z+\left(8+16i\right)$$

Ikkala tarafdan \left(-1-2i\right)z ni ayirish.

$$z-\left(-1-2i\right)z=8+16i$$

\left(2+2i\right)z ni olish uchun z va \left(1+2i\right)z ni birlashtirish.

$$\left(2+2i\right)z=8+16i$$

Ikki tarafini 2+2i ga bo‘ling.

$$z=\frac{8+16i}{2+2i}$$

\frac{8+16i}{2+2i}ning surat va maxrajini murakkab tutash maxraj 2-2i bilan ko‘paytiring.

$$z=\frac{\left(8+16i\right)\left(2-2i\right)}{\left(2+2i\right)\left(2-2i\right)}$$

\frac{\left(8+16i\right)\left(2-2i\right)}{\left(2+2i\right)\left(2-2i\right)} ichidagi ko‘paytirishlarni bajaring.

$$z=\frac{48+16i}{8}$$

6+2i ni olish uchun 48+16i ni 8 ga bo‘ling.

$$z=6+2i$$