Whakaoti i te 7-3i/4-3i

$$\frac { 7 - 3 i } { 4 - 3 i }$$

Aromātai

$$\frac{37}{25}+\frac{9}{25}i=1.48+0.36i$$

Ngā Upane Otinga

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

$$\frac{\left(7-3i\right)\left(4+3i\right)}{\left(4-3i\right)\left(4+3i\right)}$$

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}.

$$\frac{\left(7-3i\right)\left(4+3i\right)}{4^{2}-3^{2}i^{2}}$$

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

$$\frac{\left(7-3i\right)\left(4+3i\right)}{25}$$

Me whakarea ngā tau matatini 7-3i me 4+3i pēnā i te whakarea huarua.

$$\frac{7\times 4+7\times \left(3i\right)-3i\times 4-3\times 3i^{2}}{25}$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$\frac{7\times 4+7\times \left(3i\right)-3i\times 4-3\times 3\left(-1\right)}{25}$$

Mahia ngā whakarea i roto o 7\times 4+7\times \left(3i\right)-3i\times 4-3\times 3\left(-1\right).

$$\frac{28+21i-12i+9}{25}$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 28+21i-12i+9.

$$\frac{28+9+\left(21-12\right)i}{25}$$

Mahia ngā tāpiri i roto o 28+9+\left(21-12\right)i.

$$\frac{37+9i}{25}$$

Whakawehea te 37+9i ki te 25, kia riro ko \frac{37}{25}+\frac{9}{25}i.

$$\frac{37}{25}+\frac{9}{25}i$$

Wāhi Tūturu

$$\frac{37}{25} = 1\frac{12}{25} = 1.48$$

Ngā Upane Otinga

Me whakarea te taurunga me te tauraro o \frac{7-3i}{4-3i} ki te haumi hiato o te tauraro, 4+3i.

$$Re(\frac{\left(7-3i\right)\left(4+3i\right)}{\left(4-3i\right)\left(4+3i\right)})$$

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}.

$$Re(\frac{\left(7-3i\right)\left(4+3i\right)}{4^{2}-3^{2}i^{2}})$$

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

$$Re(\frac{\left(7-3i\right)\left(4+3i\right)}{25})$$

Me whakarea ngā tau matatini 7-3i me 4+3i pēnā i te whakarea huarua.

$$Re(\frac{7\times 4+7\times \left(3i\right)-3i\times 4-3\times 3i^{2}}{25})$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(\frac{7\times 4+7\times \left(3i\right)-3i\times 4-3\times 3\left(-1\right)}{25})$$

Mahia ngā whakarea i roto o 7\times 4+7\times \left(3i\right)-3i\times 4-3\times 3\left(-1\right).

$$Re(\frac{28+21i-12i+9}{25})$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 28+21i-12i+9.

$$Re(\frac{28+9+\left(21-12\right)i}{25})$$

Mahia ngā tāpiri i roto o 28+9+\left(21-12\right)i.

$$Re(\frac{37+9i}{25})$$

Whakawehea te 37+9i ki te 25, kia riro ko \frac{37}{25}+\frac{9}{25}i.

$$Re(\frac{37}{25}+\frac{9}{25}i)$$

Ko te wāhi tūturu o \frac{37}{25}+\frac{9}{25}i ko \frac{37}{25}.

$$\frac{37}{25}$$