Whakaoti i te 2+3i/-1+i

$$\frac { 2 + 3 i } { - 1 + i }$$

Aromātai

$$\frac{1}{2}-\frac{5}{2}i=0.5-2.5i$$

Ngā Upane Otinga

Whakareatia te taurunga me te tauraro ki te haumi hiato o te tauraro, -1-i.

$$\frac{\left(2+3i\right)\left(-1-i\right)}{\left(-1+i\right)\left(-1-i\right)}$$

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}.

$$\frac{\left(2+3i\right)\left(-1-i\right)}{\left(-1\right)^{2}-i^{2}}$$

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

$$\frac{\left(2+3i\right)\left(-1-i\right)}{2}$$

Me whakarea ngā tau matatini 2+3i me -1-i pēnā i te whakarea huarua.

$$\frac{2\left(-1\right)+2\left(-i\right)+3i\left(-1\right)+3\left(-1\right)i^{2}}{2}$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$\frac{2\left(-1\right)+2\left(-i\right)+3i\left(-1\right)+3\left(-1\right)\left(-1\right)}{2}$$

Mahia ngā whakarea i roto o 2\left(-1\right)+2\left(-i\right)+3i\left(-1\right)+3\left(-1\right)\left(-1\right).

$$\frac{-2-2i-3i+3}{2}$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki -2-2i-3i+3.

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

Mahia ngā tāpiri i roto o -2+3+\left(-2-3\right)i.

$$\frac{1-5i}{2}$$

Whakawehea te 1-5i ki te 2, kia riro ko \frac{1}{2}-\frac{5}{2}i.

$$\frac{1}{2}-\frac{5}{2}i$$

Wāhi Tūturu

$$\frac{1}{2} = 0.5$$

Ngā Upane Otinga

Me whakarea te taurunga me te tauraro o \frac{2+3i}{-1+i} ki te haumi hiato o te tauraro, -1-i.

$$Re(\frac{\left(2+3i\right)\left(-1-i\right)}{\left(-1+i\right)\left(-1-i\right)})$$

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}.

$$Re(\frac{\left(2+3i\right)\left(-1-i\right)}{\left(-1\right)^{2}-i^{2}})$$

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

$$Re(\frac{\left(2+3i\right)\left(-1-i\right)}{2})$$

Me whakarea ngā tau matatini 2+3i me -1-i pēnā i te whakarea huarua.

$$Re(\frac{2\left(-1\right)+2\left(-i\right)+3i\left(-1\right)+3\left(-1\right)i^{2}}{2})$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(\frac{2\left(-1\right)+2\left(-i\right)+3i\left(-1\right)+3\left(-1\right)\left(-1\right)}{2})$$

Mahia ngā whakarea i roto o 2\left(-1\right)+2\left(-i\right)+3i\left(-1\right)+3\left(-1\right)\left(-1\right).

$$Re(\frac{-2-2i-3i+3}{2})$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki -2-2i-3i+3.

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

Mahia ngā tāpiri i roto o -2+3+\left(-2-3\right)i.

$$Re(\frac{1-5i}{2})$$

Whakawehea te 1-5i ki te 2, kia riro ko \frac{1}{2}-\frac{5}{2}i.

$$Re(\frac{1}{2}-\frac{5}{2}i)$$

Ko te wāhi tūturu o \frac{1}{2}-\frac{5}{2}i ko \frac{1}{2}.

$$\frac{1}{2}$$