13i^4(2-i)/3-i eching

$$\frac { 13 i ^ { 4 } ( 2 - i ) } { 3 - i }$$

Baholash

$$\frac{91}{10}-\frac{13}{10}i=9,1-1,3i$$

Yechim qadamlari

4 daraja ko‘rsatkichini i ga hisoblang va 1 ni qiymatni oling.

$$\frac{13\times 1\left(2-i\right)}{3-i}$$

13 hosil qilish uchun 13 va 1 ni ko'paytirish.

$$\frac{13\left(2-i\right)}{3-i}$$

26-13i hosil qilish uchun 13 va 2-i ni ko'paytirish.

$$\frac{26-13i}{3-i}$$

Ham hisoblagich, ham maxrajni maxraj kompleksiga murakkablash orqali ko'paytirish, 3+i.

$$\frac{\left(26-13i\right)\left(3+i\right)}{\left(3-i\right)\left(3+i\right)}$$

\frac{\left(26-13i\right)\left(3+i\right)}{\left(3-i\right)\left(3+i\right)} ichidagi ko‘paytirishlarni bajaring.

$$\frac{91-13i}{10}$$

\frac{91}{10}-\frac{13}{10}i ni olish uchun 91-13i ni 10 ga bo‘ling.

$$\frac{91}{10}-\frac{13}{10}i$$

Ashyoviy qism

$$\frac{91}{10} = 9\frac{1}{10} = 9,1$$

Yechim qadamlari

4 daraja ko‘rsatkichini i ga hisoblang va 1 ni qiymatni oling.

$$Re(\frac{13\times 1\left(2-i\right)}{3-i})$$

13 hosil qilish uchun 13 va 1 ni ko'paytirish.

$$Re(\frac{13\left(2-i\right)}{3-i})$$

26-13i hosil qilish uchun 13 va 2-i ni ko'paytirish.

$$Re(\frac{26-13i}{3-i})$$

\frac{26-13i}{3-i}ning surat va maxrajini murakkab tutash maxraj 3+i bilan ko‘paytiring.

$$Re(\frac{\left(26-13i\right)\left(3+i\right)}{\left(3-i\right)\left(3+i\right)})$$

\frac{\left(26-13i\right)\left(3+i\right)}{\left(3-i\right)\left(3+i\right)} ichidagi ko‘paytirishlarni bajaring.

$$Re(\frac{91-13i}{10})$$

\frac{91}{10}-\frac{13}{10}i ni olish uchun 91-13i ni 10 ga bo‘ling.

$$Re(\frac{91}{10}-\frac{13}{10}i)$$

\frac{91}{10}-\frac{13}{10}i ning real qismi – \frac{91}{10}.

$$\frac{91}{10}$$