Whakaoti i te 3+5i/1-2i

$$\frac { 3 + 5 i } { 1 - 2 i }$$

Aromātai

$$-\frac{7}{5}+\frac{11}{5}i=-1.4+2.2i$$

Ngā Upane Otinga

Whakareatia te taurunga me te tauraro ki te haumi hiato o te tauraro, 1+2i.

$$\frac{\left(3+5i\right)\left(1+2i\right)}{\left(1-2i\right)\left(1+2i\right)}$$

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}.

$$\frac{\left(3+5i\right)\left(1+2i\right)}{1^{2}-2^{2}i^{2}}$$

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

$$\frac{\left(3+5i\right)\left(1+2i\right)}{5}$$

Me whakarea ngā tau matatini 3+5i me 1+2i pēnā i te whakarea huarua.

$$\frac{3\times 1+3\times \left(2i\right)+5i\times 1+5\times 2i^{2}}{5}$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$\frac{3\times 1+3\times \left(2i\right)+5i\times 1+5\times 2\left(-1\right)}{5}$$

Mahia ngā whakarea i roto o 3\times 1+3\times \left(2i\right)+5i\times 1+5\times 2\left(-1\right).

$$\frac{3+6i+5i-10}{5}$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 3+6i+5i-10.

$$\frac{3-10+\left(6+5\right)i}{5}$$

Mahia ngā tāpiri i roto o 3-10+\left(6+5\right)i.

$$\frac{-7+11i}{5}$$

Whakawehea te -7+11i ki te 5, kia riro ko -\frac{7}{5}+\frac{11}{5}i.

$$-\frac{7}{5}+\frac{11}{5}i$$

Wāhi Tūturu

$$-\frac{7}{5} = -1\frac{2}{5} = -1.4$$

Ngā Upane Otinga

Me whakarea te taurunga me te tauraro o \frac{3+5i}{1-2i} ki te haumi hiato o te tauraro, 1+2i.

$$Re(\frac{\left(3+5i\right)\left(1+2i\right)}{\left(1-2i\right)\left(1+2i\right)})$$

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}.

$$Re(\frac{\left(3+5i\right)\left(1+2i\right)}{1^{2}-2^{2}i^{2}})$$

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

$$Re(\frac{\left(3+5i\right)\left(1+2i\right)}{5})$$

Me whakarea ngā tau matatini 3+5i me 1+2i pēnā i te whakarea huarua.

$$Re(\frac{3\times 1+3\times \left(2i\right)+5i\times 1+5\times 2i^{2}}{5})$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(\frac{3\times 1+3\times \left(2i\right)+5i\times 1+5\times 2\left(-1\right)}{5})$$

Mahia ngā whakarea i roto o 3\times 1+3\times \left(2i\right)+5i\times 1+5\times 2\left(-1\right).

$$Re(\frac{3+6i+5i-10}{5})$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 3+6i+5i-10.

$$Re(\frac{3-10+\left(6+5\right)i}{5})$$

Mahia ngā tāpiri i roto o 3-10+\left(6+5\right)i.

$$Re(\frac{-7+11i}{5})$$

Whakawehea te -7+11i ki te 5, kia riro ko -\frac{7}{5}+\frac{11}{5}i.

$$Re(-\frac{7}{5}+\frac{11}{5}i)$$

Ko te wāhi tūturu o -\frac{7}{5}+\frac{11}{5}i ko -\frac{7}{5}.

$$-\frac{7}{5}$$