Whakaoti i te 3-4i/3+4i

$$\frac { 3 - 4 i } { 3 + 4 i }$$

Aromātai

$$-\frac{7}{25}-\frac{24}{25}i=-0.28-0.96i$$

Ngā Upane Otinga

Whakareatia te taurunga me te tauraro ki te haumi hiato o te tauraro, 3-4i.

$$\frac{\left(3-4i\right)\left(3-4i\right)}{\left(3+4i\right)\left(3-4i\right)}$$

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}.

$$\frac{\left(3-4i\right)\left(3-4i\right)}{3^{2}-4^{2}i^{2}}$$

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

$$\frac{\left(3-4i\right)\left(3-4i\right)}{25}$$

Me whakarea ngā tau matatini 3-4i me 3-4i pēnā i te whakarea huarua.

$$\frac{3\times 3+3\times \left(-4i\right)-4i\times 3-4\left(-4\right)i^{2}}{25}$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$\frac{3\times 3+3\times \left(-4i\right)-4i\times 3-4\left(-4\right)\left(-1\right)}{25}$$

Mahia ngā whakarea i roto o 3\times 3+3\times \left(-4i\right)-4i\times 3-4\left(-4\right)\left(-1\right).

$$\frac{9-12i-12i-16}{25}$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 9-12i-12i-16.

$$\frac{9-16+\left(-12-12\right)i}{25}$$

Mahia ngā tāpiri i roto o 9-16+\left(-12-12\right)i.

$$\frac{-7-24i}{25}$$

Whakawehea te -7-24i ki te 25, kia riro ko -\frac{7}{25}-\frac{24}{25}i.

$$-\frac{7}{25}-\frac{24}{25}i$$

Wāhi Tūturu

$$-\frac{7}{25} = -0.28$$

Ngā Upane Otinga

Me whakarea te taurunga me te tauraro o \frac{3-4i}{3+4i} ki te haumi hiato o te tauraro, 3-4i.

$$Re(\frac{\left(3-4i\right)\left(3-4i\right)}{\left(3+4i\right)\left(3-4i\right)})$$

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}.

$$Re(\frac{\left(3-4i\right)\left(3-4i\right)}{3^{2}-4^{2}i^{2}})$$

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

$$Re(\frac{\left(3-4i\right)\left(3-4i\right)}{25})$$

Me whakarea ngā tau matatini 3-4i me 3-4i pēnā i te whakarea huarua.

$$Re(\frac{3\times 3+3\times \left(-4i\right)-4i\times 3-4\left(-4\right)i^{2}}{25})$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(\frac{3\times 3+3\times \left(-4i\right)-4i\times 3-4\left(-4\right)\left(-1\right)}{25})$$

Mahia ngā whakarea i roto o 3\times 3+3\times \left(-4i\right)-4i\times 3-4\left(-4\right)\left(-1\right).

$$Re(\frac{9-12i-12i-16}{25})$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 9-12i-12i-16.

$$Re(\frac{9-16+\left(-12-12\right)i}{25})$$

Mahia ngā tāpiri i roto o 9-16+\left(-12-12\right)i.

$$Re(\frac{-7-24i}{25})$$

Whakawehea te -7-24i ki te 25, kia riro ko -\frac{7}{25}-\frac{24}{25}i.

$$Re(-\frac{7}{25}-\frac{24}{25}i)$$

Ko te wāhi tūturu o -\frac{7}{25}-\frac{24}{25}i ko -\frac{7}{25}.

$$-\frac{7}{25}$$