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

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

Baholash

$$\frac{28}{25}-\frac{4}{25}i=1,12-0,16i$$

Yechim qadamlari

3 daraja ko‘rsatkichini 2+2i ga hisoblang va -16+16i ni qiymatni oling.

$$\frac{i\left(-16+16i\right)}{\left(2-4i\right)^{2}}$$

-16-16i hosil qilish uchun i va -16+16i ni ko'paytirish.

$$\frac{-16-16i}{\left(2-4i\right)^{2}}$$

2 daraja ko‘rsatkichini 2-4i ga hisoblang va -12-16i ni qiymatni oling.

$$\frac{-16-16i}{-12-16i}$$

Ham hisoblagich, ham maxrajni maxraj kompleksiga murakkablash orqali ko'paytirish, -12+16i.

$$\frac{\left(-16-16i\right)\left(-12+16i\right)}{\left(-12-16i\right)\left(-12+16i\right)}$$

\frac{\left(-16-16i\right)\left(-12+16i\right)}{\left(-12-16i\right)\left(-12+16i\right)} ichidagi ko‘paytirishlarni bajaring.

$$\frac{448-64i}{400}$$

\frac{28}{25}-\frac{4}{25}i ni olish uchun 448-64i ni 400 ga bo‘ling.

$$\frac{28}{25}-\frac{4}{25}i$$

Ashyoviy qism

$$\frac{28}{25} = 1\frac{3}{25} = 1,12$$

Yechim qadamlari

3 daraja ko‘rsatkichini 2+2i ga hisoblang va -16+16i ni qiymatni oling.

$$Re(\frac{i\left(-16+16i\right)}{\left(2-4i\right)^{2}})$$

-16-16i hosil qilish uchun i va -16+16i ni ko'paytirish.

$$Re(\frac{-16-16i}{\left(2-4i\right)^{2}})$$

2 daraja ko‘rsatkichini 2-4i ga hisoblang va -12-16i ni qiymatni oling.

$$Re(\frac{-16-16i}{-12-16i})$$

\frac{-16-16i}{-12-16i}ning surat va maxrajini murakkab tutash maxraj -12+16i bilan ko‘paytiring.

$$Re(\frac{\left(-16-16i\right)\left(-12+16i\right)}{\left(-12-16i\right)\left(-12+16i\right)})$$

\frac{\left(-16-16i\right)\left(-12+16i\right)}{\left(-12-16i\right)\left(-12+16i\right)} ichidagi ko‘paytirishlarni bajaring.

$$Re(\frac{448-64i}{400})$$

\frac{28}{25}-\frac{4}{25}i ni olish uchun 448-64i ni 400 ga bo‘ling.

$$Re(\frac{28}{25}-\frac{4}{25}i)$$

\frac{28}{25}-\frac{4}{25}i ning real qismi – \frac{28}{25}.

$$\frac{28}{25}$$