Whakaoti i te 3+2i/1+i

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

Aromātai

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

Ngā Upane Otinga

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

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

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}.

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

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

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

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

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

Hei tōna tikanga, ko te i^{2} ko -1.

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

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

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

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

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

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

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

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

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

Wāhi Tūturu

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$

Ngā Upane Otinga

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

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

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}.

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

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

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

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

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

Hei tōna tikanga, ko te i^{2} ko -1.

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

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

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

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

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

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

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

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

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

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

$$\frac{5}{2}$$