Lahenda (1-1/3)(-6/5+3i)

$$( 1 - \frac { 1 } { 3 } ) ( - \frac { 6 } { 5 } + 3 i )$$

Arvuta

$$-\frac{4}{5}+2i=-0,8+2i$$

Lahenduse etapid

Teisendage 1 murdarvuks \frac{3}{3}.

$$\left(\frac{3}{3}-\frac{1}{3}\right)\left(-\frac{6}{5}+3i\right)$$

Kuna murdudel \frac{3}{3} ja \frac{1}{3} on sama nimetaja, lahutage nende lugejad.

$$\frac{3-1}{3}\left(-\frac{6}{5}+3i\right)$$

Lahutage 1 väärtusest 3, et leida 2.

$$\frac{2}{3}\left(-\frac{6}{5}+3i\right)$$

Korrutage omavahel \frac{2}{3} ja -\frac{6}{5}+3i.

$$\frac{2}{3}\left(-\frac{6}{5}\right)+\frac{2}{3}\times \left(3i\right)$$

Tehke korrutustehted.

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

Reaalosa

$$-\frac{4}{5} = -0,8$$

Lahenduse etapid

Teisendage 1 murdarvuks \frac{3}{3}.

$$Re(\left(\frac{3}{3}-\frac{1}{3}\right)\left(-\frac{6}{5}+3i\right))$$

Kuna murdudel \frac{3}{3} ja \frac{1}{3} on sama nimetaja, lahutage nende lugejad.

$$Re(\frac{3-1}{3}\left(-\frac{6}{5}+3i\right))$$

Lahutage 1 väärtusest 3, et leida 2.

$$Re(\frac{2}{3}\left(-\frac{6}{5}+3i\right))$$

Korrutage omavahel \frac{2}{3} ja -\frac{6}{5}+3i.

$$Re(\frac{2}{3}\left(-\frac{6}{5}\right)+\frac{2}{3}\times \left(3i\right))$$

Tehke korrutustehted võrrandis \frac{2}{3}\left(-\frac{6}{5}\right)+\frac{2}{3}\times \left(3i\right).

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

Arvu -\frac{4}{5}+2i reaalosa on -\frac{4}{5}.

$$-\frac{4}{5}$$