Whakaoti i te -2-4i/-5+9i

$$\frac { - 2 - 4 i } { - 5 + 9 i }$$

Aromātai

$$-\frac{13}{53}+\frac{19}{53}i\approx -0.245283019+0.358490566i$$

Ngā Upane Otinga

Whakareatia te taurunga me te tauraro ki te haumi hiato o te tauraro, -5-9i.

$$\frac{\left(-2-4i\right)\left(-5-9i\right)}{\left(-5+9i\right)\left(-5-9i\right)}$$

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}.

$$\frac{\left(-2-4i\right)\left(-5-9i\right)}{\left(-5\right)^{2}-9^{2}i^{2}}$$

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

$$\frac{\left(-2-4i\right)\left(-5-9i\right)}{106}$$

Me whakarea ngā tau matatini -2-4i me -5-9i pēnā i te whakarea huarua.

$$\frac{-2\left(-5\right)-2\times \left(-9i\right)-4i\left(-5\right)-4\left(-9\right)i^{2}}{106}$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$\frac{-2\left(-5\right)-2\times \left(-9i\right)-4i\left(-5\right)-4\left(-9\right)\left(-1\right)}{106}$$

Mahia ngā whakarea i roto o -2\left(-5\right)-2\times \left(-9i\right)-4i\left(-5\right)-4\left(-9\right)\left(-1\right).

$$\frac{10+18i+20i-36}{106}$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 10+18i+20i-36.

$$\frac{10-36+\left(18+20\right)i}{106}$$

Mahia ngā tāpiri i roto o 10-36+\left(18+20\right)i.

$$\frac{-26+38i}{106}$$

Whakawehea te -26+38i ki te 106, kia riro ko -\frac{13}{53}+\frac{19}{53}i.

$$-\frac{13}{53}+\frac{19}{53}i$$

Wāhi Tūturu

$$-\frac{13}{53} = -0.24528301886792453$$

Ngā Upane Otinga

Me whakarea te taurunga me te tauraro o \frac{-2-4i}{-5+9i} ki te haumi hiato o te tauraro, -5-9i.

$$Re(\frac{\left(-2-4i\right)\left(-5-9i\right)}{\left(-5+9i\right)\left(-5-9i\right)})$$

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}.

$$Re(\frac{\left(-2-4i\right)\left(-5-9i\right)}{\left(-5\right)^{2}-9^{2}i^{2}})$$

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

$$Re(\frac{\left(-2-4i\right)\left(-5-9i\right)}{106})$$

Me whakarea ngā tau matatini -2-4i me -5-9i pēnā i te whakarea huarua.

$$Re(\frac{-2\left(-5\right)-2\times \left(-9i\right)-4i\left(-5\right)-4\left(-9\right)i^{2}}{106})$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(\frac{-2\left(-5\right)-2\times \left(-9i\right)-4i\left(-5\right)-4\left(-9\right)\left(-1\right)}{106})$$

Mahia ngā whakarea i roto o -2\left(-5\right)-2\times \left(-9i\right)-4i\left(-5\right)-4\left(-9\right)\left(-1\right).

$$Re(\frac{10+18i+20i-36}{106})$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 10+18i+20i-36.

$$Re(\frac{10-36+\left(18+20\right)i}{106})$$

Mahia ngā tāpiri i roto o 10-36+\left(18+20\right)i.

$$Re(\frac{-26+38i}{106})$$

Whakawehea te -26+38i ki te 106, kia riro ko -\frac{13}{53}+\frac{19}{53}i.

$$Re(-\frac{13}{53}+\frac{19}{53}i)$$

Ko te wāhi tūturu o -\frac{13}{53}+\frac{19}{53}i ko -\frac{13}{53}.

$$-\frac{13}{53}$$