Whakaoti i te 5+5i/-6-3i

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

Aromātai

$$-1-\frac{1}{3}i\approx -1-0.333333333i$$

Ngā Upane Otinga

Whakareatia te taurunga me te tauraro ki te haumi hiato o te tauraro, -6+3i.

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

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}.

$$\frac{\left(5+5i\right)\left(-6+3i\right)}{\left(-6\right)^{2}-3^{2}i^{2}}$$

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

$$\frac{\left(5+5i\right)\left(-6+3i\right)}{45}$$

Me whakarea ngā tau matatini 5+5i me -6+3i pēnā i te whakarea huarua.

$$\frac{5\left(-6\right)+5\times \left(3i\right)+5i\left(-6\right)+5\times 3i^{2}}{45}$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$\frac{5\left(-6\right)+5\times \left(3i\right)+5i\left(-6\right)+5\times 3\left(-1\right)}{45}$$

Mahia ngā whakarea i roto o 5\left(-6\right)+5\times \left(3i\right)+5i\left(-6\right)+5\times 3\left(-1\right).

$$\frac{-30+15i-30i-15}{45}$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki -30+15i-30i-15.

$$\frac{-30-15+\left(15-30\right)i}{45}$$

Mahia ngā tāpiri i roto o -30-15+\left(15-30\right)i.

$$\frac{-45-15i}{45}$$

Whakawehea te -45-15i ki te 45, kia riro ko -1-\frac{1}{3}i.

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

Wāhi Tūturu

$$-1$$

Ngā Upane Otinga

Me whakarea te taurunga me te tauraro o \frac{5+5i}{-6-3i} ki te haumi hiato o te tauraro, -6+3i.

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

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}.

$$Re(\frac{\left(5+5i\right)\left(-6+3i\right)}{\left(-6\right)^{2}-3^{2}i^{2}})$$

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

$$Re(\frac{\left(5+5i\right)\left(-6+3i\right)}{45})$$

Me whakarea ngā tau matatini 5+5i me -6+3i pēnā i te whakarea huarua.

$$Re(\frac{5\left(-6\right)+5\times \left(3i\right)+5i\left(-6\right)+5\times 3i^{2}}{45})$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(\frac{5\left(-6\right)+5\times \left(3i\right)+5i\left(-6\right)+5\times 3\left(-1\right)}{45})$$

Mahia ngā whakarea i roto o 5\left(-6\right)+5\times \left(3i\right)+5i\left(-6\right)+5\times 3\left(-1\right).

$$Re(\frac{-30+15i-30i-15}{45})$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki -30+15i-30i-15.

$$Re(\frac{-30-15+\left(15-30\right)i}{45})$$

Mahia ngā tāpiri i roto o -30-15+\left(15-30\right)i.

$$Re(\frac{-45-15i}{45})$$

Whakawehea te -45-15i ki te 45, kia riro ko -1-\frac{1}{3}i.

$$Re(-1-\frac{1}{3}i)$$

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

$$-1$$