1+i/i-3/4-i eching

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

Baholash

$$\frac{5}{17}-\frac{20}{17}i\approx 0,294117647-1,176470588i$$

Yechim qadamlari

\frac{1+i}{i}ning surat va maxrajini xayolik birlik i bilan ko‘paytiring.

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

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

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

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

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

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

$$1-i-\frac{12+3i}{17}$$

\frac{12}{17}+\frac{3}{17}i ni olish uchun 12+3i ni 17 ga bo‘ling.

$$1-i+\left(-\frac{12}{17}-\frac{3}{17}i\right)$$

\frac{5}{17}-\frac{20}{17}i olish uchun 1-i va -\frac{12}{17}-\frac{3}{17}i'ni qo'shing.

$$\frac{5}{17}-\frac{20}{17}i$$

Ashyoviy qism

$$\frac{5}{17} = 0,29411764705882354$$

Yechim qadamlari

\frac{1+i}{i}ning surat va maxrajini xayolik birlik i bilan ko‘paytiring.

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

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

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

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

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

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

$$Re(1-i-\frac{12+3i}{17})$$

\frac{12}{17}+\frac{3}{17}i ni olish uchun 12+3i ni 17 ga bo‘ling.

$$Re(1-i+\left(-\frac{12}{17}-\frac{3}{17}i\right))$$

\frac{5}{17}-\frac{20}{17}i olish uchun 1-i va -\frac{12}{17}-\frac{3}{17}i'ni qo'shing.

$$Re(\frac{5}{17}-\frac{20}{17}i)$$

\frac{5}{17}-\frac{20}{17}i ning real qismi – \frac{5}{17}.

$$\frac{5}{17}$$