Whakaoti i te -5+i/-6+6i

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

Aromātai

$$\frac{1}{2}+\frac{1}{3}i\approx 0.5+0.333333333i$$

Ngā Upane Otinga

Whakareatia te taurunga me te tauraro ki te haumi hiato o te tauraro, -6-6i.

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

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}.

$$\frac{\left(-5+i\right)\left(-6-6i\right)}{\left(-6\right)^{2}-6^{2}i^{2}}$$

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

$$\frac{\left(-5+i\right)\left(-6-6i\right)}{72}$$

Me whakarea ngā tau matatini -5+i me -6-6i pēnā i te whakarea huarua.

$$\frac{-5\left(-6\right)-5\times \left(-6i\right)-6i-6i^{2}}{72}$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$\frac{-5\left(-6\right)-5\times \left(-6i\right)-6i-6\left(-1\right)}{72}$$

Mahia ngā whakarea i roto o -5\left(-6\right)-5\times \left(-6i\right)-6i-6\left(-1\right).

$$\frac{30+30i-6i+6}{72}$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 30+30i-6i+6.

$$\frac{30+6+\left(30-6\right)i}{72}$$

Mahia ngā tāpiri i roto o 30+6+\left(30-6\right)i.

$$\frac{36+24i}{72}$$

Whakawehea te 36+24i ki te 72, kia riro ko \frac{1}{2}+\frac{1}{3}i.

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

Wāhi Tūturu

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

Ngā Upane Otinga

Me whakarea te taurunga me te tauraro o \frac{-5+i}{-6+6i} ki te haumi hiato o te tauraro, -6-6i.

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

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}.

$$Re(\frac{\left(-5+i\right)\left(-6-6i\right)}{\left(-6\right)^{2}-6^{2}i^{2}})$$

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

$$Re(\frac{\left(-5+i\right)\left(-6-6i\right)}{72})$$

Me whakarea ngā tau matatini -5+i me -6-6i pēnā i te whakarea huarua.

$$Re(\frac{-5\left(-6\right)-5\times \left(-6i\right)-6i-6i^{2}}{72})$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(\frac{-5\left(-6\right)-5\times \left(-6i\right)-6i-6\left(-1\right)}{72})$$

Mahia ngā whakarea i roto o -5\left(-6\right)-5\times \left(-6i\right)-6i-6\left(-1\right).

$$Re(\frac{30+30i-6i+6}{72})$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 30+30i-6i+6.

$$Re(\frac{30+6+\left(30-6\right)i}{72})$$

Mahia ngā tāpiri i roto o 30+6+\left(30-6\right)i.

$$Re(\frac{36+24i}{72})$$

Whakawehea te 36+24i ki te 72, kia riro ko \frac{1}{2}+\frac{1}{3}i.

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

Ko te wāhi tūturu o \frac{1}{2}+\frac{1}{3}i ko \frac{1}{2}.

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