Whakaoti i te 5-6i/4-3i

$$\frac { 5 - 6 i } { 4 - 3 i }$$

Aromātai

$$\frac{38}{25}-\frac{9}{25}i=1.52-0.36i$$

Ngā Upane Otinga

Whakareatia te taurunga me te tauraro ki te haumi hiato o te tauraro, 4+3i.

$$\frac{\left(5-6i\right)\left(4+3i\right)}{\left(4-3i\right)\left(4+3i\right)}$$

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}.

$$\frac{\left(5-6i\right)\left(4+3i\right)}{4^{2}-3^{2}i^{2}}$$

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

$$\frac{\left(5-6i\right)\left(4+3i\right)}{25}$$

Me whakarea ngā tau matatini 5-6i me 4+3i pēnā i te whakarea huarua.

$$\frac{5\times 4+5\times \left(3i\right)-6i\times 4-6\times 3i^{2}}{25}$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$\frac{5\times 4+5\times \left(3i\right)-6i\times 4-6\times 3\left(-1\right)}{25}$$

Mahia ngā whakarea i roto o 5\times 4+5\times \left(3i\right)-6i\times 4-6\times 3\left(-1\right).

$$\frac{20+15i-24i+18}{25}$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 20+15i-24i+18.

$$\frac{20+18+\left(15-24\right)i}{25}$$

Mahia ngā tāpiri i roto o 20+18+\left(15-24\right)i.

$$\frac{38-9i}{25}$$

Whakawehea te 38-9i ki te 25, kia riro ko \frac{38}{25}-\frac{9}{25}i.

$$\frac{38}{25}-\frac{9}{25}i$$

Wāhi Tūturu

$$\frac{38}{25} = 1\frac{13}{25} = 1.52$$

Ngā Upane Otinga

Me whakarea te taurunga me te tauraro o \frac{5-6i}{4-3i} ki te haumi hiato o te tauraro, 4+3i.

$$Re(\frac{\left(5-6i\right)\left(4+3i\right)}{\left(4-3i\right)\left(4+3i\right)})$$

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}.

$$Re(\frac{\left(5-6i\right)\left(4+3i\right)}{4^{2}-3^{2}i^{2}})$$

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

$$Re(\frac{\left(5-6i\right)\left(4+3i\right)}{25})$$

Me whakarea ngā tau matatini 5-6i me 4+3i pēnā i te whakarea huarua.

$$Re(\frac{5\times 4+5\times \left(3i\right)-6i\times 4-6\times 3i^{2}}{25})$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(\frac{5\times 4+5\times \left(3i\right)-6i\times 4-6\times 3\left(-1\right)}{25})$$

Mahia ngā whakarea i roto o 5\times 4+5\times \left(3i\right)-6i\times 4-6\times 3\left(-1\right).

$$Re(\frac{20+15i-24i+18}{25})$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 20+15i-24i+18.

$$Re(\frac{20+18+\left(15-24\right)i}{25})$$

Mahia ngā tāpiri i roto o 20+18+\left(15-24\right)i.

$$Re(\frac{38-9i}{25})$$

Whakawehea te 38-9i ki te 25, kia riro ko \frac{38}{25}-\frac{9}{25}i.

$$Re(\frac{38}{25}-\frac{9}{25}i)$$

Ko te wāhi tūturu o \frac{38}{25}-\frac{9}{25}i ko \frac{38}{25}.

$$\frac{38}{25}$$