Whakaoti i te 4+2i/2-7i

$$\frac { 4 + 2 i } { 2 - 7 i }$$

Aromātai

$$-\frac{6}{53}+\frac{32}{53}i\approx -0.113207547+0.603773585i$$

Ngā Upane Otinga

Whakareatia te taurunga me te tauraro ki te haumi hiato o te tauraro, 2+7i.

$$\frac{\left(4+2i\right)\left(2+7i\right)}{\left(2-7i\right)\left(2+7i\right)}$$

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}.

$$\frac{\left(4+2i\right)\left(2+7i\right)}{2^{2}-7^{2}i^{2}}$$

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

$$\frac{\left(4+2i\right)\left(2+7i\right)}{53}$$

Me whakarea ngā tau matatini 4+2i me 2+7i pēnā i te whakarea huarua.

$$\frac{4\times 2+4\times \left(7i\right)+2i\times 2+2\times 7i^{2}}{53}$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$\frac{4\times 2+4\times \left(7i\right)+2i\times 2+2\times 7\left(-1\right)}{53}$$

Mahia ngā whakarea i roto o 4\times 2+4\times \left(7i\right)+2i\times 2+2\times 7\left(-1\right).

$$\frac{8+28i+4i-14}{53}$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 8+28i+4i-14.

$$\frac{8-14+\left(28+4\right)i}{53}$$

Mahia ngā tāpiri i roto o 8-14+\left(28+4\right)i.

$$\frac{-6+32i}{53}$$

Whakawehea te -6+32i ki te 53, kia riro ko -\frac{6}{53}+\frac{32}{53}i.

$$-\frac{6}{53}+\frac{32}{53}i$$

Wāhi Tūturu

$$-\frac{6}{53} = -0.11320754716981132$$

Ngā Upane Otinga

Me whakarea te taurunga me te tauraro o \frac{4+2i}{2-7i} ki te haumi hiato o te tauraro, 2+7i.

$$Re(\frac{\left(4+2i\right)\left(2+7i\right)}{\left(2-7i\right)\left(2+7i\right)})$$

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}.

$$Re(\frac{\left(4+2i\right)\left(2+7i\right)}{2^{2}-7^{2}i^{2}})$$

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

$$Re(\frac{\left(4+2i\right)\left(2+7i\right)}{53})$$

Me whakarea ngā tau matatini 4+2i me 2+7i pēnā i te whakarea huarua.

$$Re(\frac{4\times 2+4\times \left(7i\right)+2i\times 2+2\times 7i^{2}}{53})$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(\frac{4\times 2+4\times \left(7i\right)+2i\times 2+2\times 7\left(-1\right)}{53})$$

Mahia ngā whakarea i roto o 4\times 2+4\times \left(7i\right)+2i\times 2+2\times 7\left(-1\right).

$$Re(\frac{8+28i+4i-14}{53})$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 8+28i+4i-14.

$$Re(\frac{8-14+\left(28+4\right)i}{53})$$

Mahia ngā tāpiri i roto o 8-14+\left(28+4\right)i.

$$Re(\frac{-6+32i}{53})$$

Whakawehea te -6+32i ki te 53, kia riro ko -\frac{6}{53}+\frac{32}{53}i.

$$Re(-\frac{6}{53}+\frac{32}{53}i)$$

Ko te wāhi tūturu o -\frac{6}{53}+\frac{32}{53}i ko -\frac{6}{53}.

$$-\frac{6}{53}$$