4i/1-2i+1-i/1+2i+12/5 eching

$$\frac { 4 i } { 1 - 2 i } + \frac { 1 - i } { 1 + 2 i } + \frac { 12 } { 5 }$$

Baholash

$$\frac{3}{5}+\frac{1}{5}i=0,6+0,2i$$

Yechim qadamlari

\frac{4i}{1-2i}ning surat va maxrajini murakkab tutash maxraj 1+2i bilan ko‘paytiring.

$$\frac{4i\left(1+2i\right)}{\left(1-2i\right)\left(1+2i\right)}+\frac{1-i}{1+2i}+\frac{12}{5}$$

\frac{4i\left(1+2i\right)}{\left(1-2i\right)\left(1+2i\right)} ichidagi ko‘paytirishlarni bajaring.

$$\frac{-8+4i}{5}+\frac{1-i}{1+2i}+\frac{12}{5}$$

-\frac{8}{5}+\frac{4}{5}i ni olish uchun -8+4i ni 5 ga bo‘ling.

$$-\frac{8}{5}+\frac{4}{5}i+\frac{1-i}{1+2i}+\frac{12}{5}$$

Qo‘shishlarni bajaring.

$$\frac{1-i}{1+2i}+\frac{4}{5}+\frac{4}{5}i$$

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

$$\frac{\left(1-i\right)\left(1-2i\right)}{\left(1+2i\right)\left(1-2i\right)}+\frac{4}{5}+\frac{4}{5}i$$

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

$$\frac{-1-3i}{5}+\frac{4}{5}+\frac{4}{5}i$$

-\frac{1}{5}-\frac{3}{5}i ni olish uchun -1-3i ni 5 ga bo‘ling.

$$-\frac{1}{5}-\frac{3}{5}i+\frac{4}{5}+\frac{4}{5}i$$

Qo‘shishlarni bajaring.

$$\frac{3}{5}+\frac{1}{5}i$$

Ashyoviy qism

$$\frac{3}{5} = 0,6$$

Yechim qadamlari

\frac{4i}{1-2i}ning surat va maxrajini murakkab tutash maxraj 1+2i bilan ko‘paytiring.

$$Re(\frac{4i\left(1+2i\right)}{\left(1-2i\right)\left(1+2i\right)}+\frac{1-i}{1+2i}+\frac{12}{5})$$

\frac{4i\left(1+2i\right)}{\left(1-2i\right)\left(1+2i\right)} ichidagi ko‘paytirishlarni bajaring.

$$Re(\frac{-8+4i}{5}+\frac{1-i}{1+2i}+\frac{12}{5})$$

-\frac{8}{5}+\frac{4}{5}i ni olish uchun -8+4i ni 5 ga bo‘ling.

$$Re(-\frac{8}{5}+\frac{4}{5}i+\frac{1-i}{1+2i}+\frac{12}{5})$$

-\frac{8}{5}+\frac{4}{5}i+\frac{12}{5} ichida qo‘shishlarni bajaring.

$$Re(\frac{1-i}{1+2i}+\frac{4}{5}+\frac{4}{5}i)$$

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

$$Re(\frac{\left(1-i\right)\left(1-2i\right)}{\left(1+2i\right)\left(1-2i\right)}+\frac{4}{5}+\frac{4}{5}i)$$

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

$$Re(\frac{-1-3i}{5}+\frac{4}{5}+\frac{4}{5}i)$$

-\frac{1}{5}-\frac{3}{5}i ni olish uchun -1-3i ni 5 ga bo‘ling.

$$Re(-\frac{1}{5}-\frac{3}{5}i+\frac{4}{5}+\frac{4}{5}i)$$

-\frac{1}{5}-\frac{3}{5}i+\frac{4}{5}+\frac{4}{5}i ichida qo‘shishlarni bajaring.

$$Re(\frac{3}{5}+\frac{1}{5}i)$$

\frac{3}{5}+\frac{1}{5}i ning real qismi – \frac{3}{5}.

$$\frac{3}{5}$$