Whakaoti i te -2-6i/1-7i

$$\frac { - 2 - 6 i } { 1 - 7 i }$$

Aromātai

$$\frac{4}{5}-\frac{2}{5}i=0.8-0.4i$$

Ngā Upane Otinga

Whakareatia te taurunga me te tauraro ki te haumi hiato o te tauraro, 1+7i.

$$\frac{\left(-2-6i\right)\left(1+7i\right)}{\left(1-7i\right)\left(1+7i\right)}$$

Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\frac{\left(-2-6i\right)\left(1+7i\right)}{1^{2}-7^{2}i^{2}}$$

Hei tōna tikanga, ko te i^{2} ko -1. Tātaitia te tauraro.

$$\frac{\left(-2-6i\right)\left(1+7i\right)}{50}$$

Me whakarea ngā tau matatini -2-6i me 1+7i pēnā i te whakarea huarua.

$$\frac{-2-2\times \left(7i\right)-6i-6\times 7i^{2}}{50}$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$\frac{-2-2\times \left(7i\right)-6i-6\times 7\left(-1\right)}{50}$$

Mahia ngā whakarea i roto o -2-2\times \left(7i\right)-6i-6\times 7\left(-1\right).

$$\frac{-2-14i-6i+42}{50}$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki -2-14i-6i+42.

$$\frac{-2+42+\left(-14-6\right)i}{50}$$

Mahia ngā tāpiri i roto o -2+42+\left(-14-6\right)i.

$$\frac{40-20i}{50}$$

Whakawehea te 40-20i ki te 50, kia riro ko \frac{4}{5}-\frac{2}{5}i.

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

Wāhi Tūturu

$$\frac{4}{5} = 0.8$$

Ngā Upane Otinga

Me whakarea te taurunga me te tauraro o \frac{-2-6i}{1-7i} ki te haumi hiato o te tauraro, 1+7i.

$$Re(\frac{\left(-2-6i\right)\left(1+7i\right)}{\left(1-7i\right)\left(1+7i\right)})$$

Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$Re(\frac{\left(-2-6i\right)\left(1+7i\right)}{1^{2}-7^{2}i^{2}})$$

Hei tōna tikanga, ko te i^{2} ko -1. Tātaitia te tauraro.

$$Re(\frac{\left(-2-6i\right)\left(1+7i\right)}{50})$$

Me whakarea ngā tau matatini -2-6i me 1+7i pēnā i te whakarea huarua.

$$Re(\frac{-2-2\times \left(7i\right)-6i-6\times 7i^{2}}{50})$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(\frac{-2-2\times \left(7i\right)-6i-6\times 7\left(-1\right)}{50})$$

Mahia ngā whakarea i roto o -2-2\times \left(7i\right)-6i-6\times 7\left(-1\right).

$$Re(\frac{-2-14i-6i+42}{50})$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki -2-14i-6i+42.

$$Re(\frac{-2+42+\left(-14-6\right)i}{50})$$

Mahia ngā tāpiri i roto o -2+42+\left(-14-6\right)i.

$$Re(\frac{40-20i}{50})$$

Whakawehea te 40-20i ki te 50, kia riro ko \frac{4}{5}-\frac{2}{5}i.

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

Ko te wāhi tūturu o \frac{4}{5}-\frac{2}{5}i ko \frac{4}{5}.

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