Whakaoti i te 5+i/4+i

$$\frac { 5 + i } { 4 + i }$$

Aromātai

$$\frac{21}{17}-\frac{1}{17}i\approx 1.235294118-0.058823529i$$

Ngā Upane Otinga

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

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

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}.

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

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

$$\frac{\left(5+i\right)\left(4-i\right)}{17}$$

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

$$\frac{5\times 4+5\left(-i\right)+4i-i^{2}}{17}$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$\frac{5\times 4+5\left(-i\right)+4i-\left(-1\right)}{17}$$

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

$$\frac{20-5i+4i+1}{17}$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 20-5i+4i+1.

$$\frac{20+1+\left(-5+4\right)i}{17}$$

Mahia ngā tāpiri i roto o 20+1+\left(-5+4\right)i.

$$\frac{21-i}{17}$$

Whakawehea te 21-i ki te 17, kia riro ko \frac{21}{17}-\frac{1}{17}i.

$$\frac{21}{17}-\frac{1}{17}i$$

Wāhi Tūturu

$$\frac{21}{17} = 1\frac{4}{17} = 1.2352941176470589$$

Ngā Upane Otinga

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

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

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}.

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

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

$$Re(\frac{\left(5+i\right)\left(4-i\right)}{17})$$

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

$$Re(\frac{5\times 4+5\left(-i\right)+4i-i^{2}}{17})$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(\frac{5\times 4+5\left(-i\right)+4i-\left(-1\right)}{17})$$

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

$$Re(\frac{20-5i+4i+1}{17})$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 20-5i+4i+1.

$$Re(\frac{20+1+\left(-5+4\right)i}{17})$$

Mahia ngā tāpiri i roto o 20+1+\left(-5+4\right)i.

$$Re(\frac{21-i}{17})$$

Whakawehea te 21-i ki te 17, kia riro ko \frac{21}{17}-\frac{1}{17}i.

$$Re(\frac{21}{17}-\frac{1}{17}i)$$

Ko te wāhi tūturu o \frac{21}{17}-\frac{1}{17}i ko \frac{21}{17}.

$$\frac{21}{17}$$