Whakaoti i te 7-7i/9-2i

$$\frac { 7 - 7 i } { 9 - 2 i }$$

Aromātai

$$\frac{77}{85}-\frac{49}{85}i\approx 0.905882353-0.576470588i$$

Ngā Upane Otinga

Whakareatia te taurunga me te tauraro ki te haumi hiato o te tauraro, 9+2i.

$$\frac{\left(7-7i\right)\left(9+2i\right)}{\left(9-2i\right)\left(9+2i\right)}$$

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}.

$$\frac{\left(7-7i\right)\left(9+2i\right)}{9^{2}-2^{2}i^{2}}$$

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

$$\frac{\left(7-7i\right)\left(9+2i\right)}{85}$$

Me whakarea ngā tau matatini 7-7i me 9+2i pēnā i te whakarea huarua.

$$\frac{7\times 9+7\times \left(2i\right)-7i\times 9-7\times 2i^{2}}{85}$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$\frac{7\times 9+7\times \left(2i\right)-7i\times 9-7\times 2\left(-1\right)}{85}$$

Mahia ngā whakarea i roto o 7\times 9+7\times \left(2i\right)-7i\times 9-7\times 2\left(-1\right).

$$\frac{63+14i-63i+14}{85}$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 63+14i-63i+14.

$$\frac{63+14+\left(14-63\right)i}{85}$$

Mahia ngā tāpiri i roto o 63+14+\left(14-63\right)i.

$$\frac{77-49i}{85}$$

Whakawehea te 77-49i ki te 85, kia riro ko \frac{77}{85}-\frac{49}{85}i.

$$\frac{77}{85}-\frac{49}{85}i$$

Wāhi Tūturu

$$\frac{77}{85} = 0.9058823529411765$$

Ngā Upane Otinga

Me whakarea te taurunga me te tauraro o \frac{7-7i}{9-2i} ki te haumi hiato o te tauraro, 9+2i.

$$Re(\frac{\left(7-7i\right)\left(9+2i\right)}{\left(9-2i\right)\left(9+2i\right)})$$

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}.

$$Re(\frac{\left(7-7i\right)\left(9+2i\right)}{9^{2}-2^{2}i^{2}})$$

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

$$Re(\frac{\left(7-7i\right)\left(9+2i\right)}{85})$$

Me whakarea ngā tau matatini 7-7i me 9+2i pēnā i te whakarea huarua.

$$Re(\frac{7\times 9+7\times \left(2i\right)-7i\times 9-7\times 2i^{2}}{85})$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(\frac{7\times 9+7\times \left(2i\right)-7i\times 9-7\times 2\left(-1\right)}{85})$$

Mahia ngā whakarea i roto o 7\times 9+7\times \left(2i\right)-7i\times 9-7\times 2\left(-1\right).

$$Re(\frac{63+14i-63i+14}{85})$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 63+14i-63i+14.

$$Re(\frac{63+14+\left(14-63\right)i}{85})$$

Mahia ngā tāpiri i roto o 63+14+\left(14-63\right)i.

$$Re(\frac{77-49i}{85})$$

Whakawehea te 77-49i ki te 85, kia riro ko \frac{77}{85}-\frac{49}{85}i.

$$Re(\frac{77}{85}-\frac{49}{85}i)$$

Ko te wāhi tūturu o \frac{77}{85}-\frac{49}{85}i ko \frac{77}{85}.

$$\frac{77}{85}$$