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

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

Aromātai

$$\frac{15}{61}-\frac{43}{61}i\approx 0.245901639-0.704918033i$$

Ngā Upane Otinga

Whakareatia te taurunga me te tauraro ki te haumi hiato o te tauraro, 6-5i.

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

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}.

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

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

$$\frac{\left(5-3i\right)\left(6-5i\right)}{61}$$

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

$$\frac{5\times 6+5\times \left(-5i\right)-3i\times 6-3\left(-5\right)i^{2}}{61}$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$\frac{5\times 6+5\times \left(-5i\right)-3i\times 6-3\left(-5\right)\left(-1\right)}{61}$$

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

$$\frac{30-25i-18i-15}{61}$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 30-25i-18i-15.

$$\frac{30-15+\left(-25-18\right)i}{61}$$

Mahia ngā tāpiri i roto o 30-15+\left(-25-18\right)i.

$$\frac{15-43i}{61}$$

Whakawehea te 15-43i ki te 61, kia riro ko \frac{15}{61}-\frac{43}{61}i.

$$\frac{15}{61}-\frac{43}{61}i$$

Wāhi Tūturu

$$\frac{15}{61} = 0.2459016393442623$$

Ngā Upane Otinga

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

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

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}.

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

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

$$Re(\frac{\left(5-3i\right)\left(6-5i\right)}{61})$$

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

$$Re(\frac{5\times 6+5\times \left(-5i\right)-3i\times 6-3\left(-5\right)i^{2}}{61})$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(\frac{5\times 6+5\times \left(-5i\right)-3i\times 6-3\left(-5\right)\left(-1\right)}{61})$$

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

$$Re(\frac{30-25i-18i-15}{61})$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 30-25i-18i-15.

$$Re(\frac{30-15+\left(-25-18\right)i}{61})$$

Mahia ngā tāpiri i roto o 30-15+\left(-25-18\right)i.

$$Re(\frac{15-43i}{61})$$

Whakawehea te 15-43i ki te 61, kia riro ko \frac{15}{61}-\frac{43}{61}i.

$$Re(\frac{15}{61}-\frac{43}{61}i)$$

Ko te wāhi tūturu o \frac{15}{61}-\frac{43}{61}i ko \frac{15}{61}.

$$\frac{15}{61}$$