Whakaoti i te 2i/7+i

$$\frac { 2 i } { 7 + i }$$

Aromātai

$$\frac{1}{25}+\frac{7}{25}i=0.04+0.28i$$

Ngā Upane Otinga

Whakareatia te taurunga me te tauraro ki te haumi hiato o te tauraro, 7-i.

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

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}.

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

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

$$\frac{2i\left(7-i\right)}{50}$$

Whakareatia 2i ki te 7-i.

$$\frac{2i\times 7+2\left(-1\right)i^{2}}{50}$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$\frac{2i\times 7+2\left(-1\right)\left(-1\right)}{50}$$

Mahia ngā whakarea i roto o 2i\times 7+2\left(-1\right)\left(-1\right). Whakaraupapatia anō ngā kīanga tau.

$$\frac{2+14i}{50}$$

Whakawehea te 2+14i ki te 50, kia riro ko \frac{1}{25}+\frac{7}{25}i.

$$\frac{1}{25}+\frac{7}{25}i$$

Wāhi Tūturu

$$\frac{1}{25} = 0.04$$

Ngā Upane Otinga

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

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

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}.

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

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

$$Re(\frac{2i\left(7-i\right)}{50})$$

Whakareatia 2i ki te 7-i.

$$Re(\frac{2i\times 7+2\left(-1\right)i^{2}}{50})$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(\frac{2i\times 7+2\left(-1\right)\left(-1\right)}{50})$$

Mahia ngā whakarea i roto o 2i\times 7+2\left(-1\right)\left(-1\right). Whakaraupapatia anō ngā kīanga tau.

$$Re(\frac{2+14i}{50})$$

Whakawehea te 2+14i ki te 50, kia riro ko \frac{1}{25}+\frac{7}{25}i.

$$Re(\frac{1}{25}+\frac{7}{25}i)$$

Ko te wāhi tūturu o \frac{1}{25}+\frac{7}{25}i ko \frac{1}{25}.

$$\frac{1}{25}$$