Whakaoti i te (4-6i)(10+6i)/(4-6i)+(10+6i)

$$\frac { ( 4 - 6 i ) ( 10 + 6 i ) } { ( 4 - 6 i ) + ( 10 + 6 i ) }$$

Aromātai

$$\frac{38}{7}-\frac{18}{7}i\approx 5.428571429-2.571428571i$$

Ngā Upane Otinga

Me whakarea ngā tau matatini 4-6i me 10+6i pēnā i te whakarea huarua.

$$\frac{4\times 10+4\times \left(6i\right)-6i\times 10-6\times 6i^{2}}{4-6i+\left(10+6i\right)}$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$\frac{4\times 10+4\times \left(6i\right)-6i\times 10-6\times 6\left(-1\right)}{4-6i+\left(10+6i\right)}$$

Mahia ngā whakarea i roto o 4\times 10+4\times \left(6i\right)-6i\times 10-6\times 6\left(-1\right).

$$\frac{40+24i-60i+36}{4-6i+\left(10+6i\right)}$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 40+24i-60i+36.

$$\frac{40+36+\left(24-60\right)i}{4-6i+\left(10+6i\right)}$$

Mahia ngā tāpiri i roto o 40+36+\left(24-60\right)i.

$$\frac{76-36i}{4-6i+\left(10+6i\right)}$$

Whakakotahitia ngā tau tūturu me ngā tau pōhewa i roto o 4-6i me te 10+6i.

$$\frac{76-36i}{4+10+\left(-6+6\right)i}$$

Tāpiri 4 ki te 10. Tāpiri -6 ki te 6.

$$\frac{76-36i}{14}$$

Whakawehea te 76-36i ki te 14, kia riro ko \frac{38}{7}-\frac{18}{7}i.

$$\frac{38}{7}-\frac{18}{7}i$$

Wāhi Tūturu

$$\frac{38}{7} = 5\frac{3}{7} = 5.428571428571429$$

Ngā Upane Otinga

Me whakarea ngā tau matatini 4-6i me 10+6i pēnā i te whakarea huarua.

$$Re(\frac{4\times 10+4\times \left(6i\right)-6i\times 10-6\times 6i^{2}}{4-6i+\left(10+6i\right)})$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(\frac{4\times 10+4\times \left(6i\right)-6i\times 10-6\times 6\left(-1\right)}{4-6i+\left(10+6i\right)})$$

Mahia ngā whakarea i roto o 4\times 10+4\times \left(6i\right)-6i\times 10-6\times 6\left(-1\right).

$$Re(\frac{40+24i-60i+36}{4-6i+\left(10+6i\right)})$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 40+24i-60i+36.

$$Re(\frac{40+36+\left(24-60\right)i}{4-6i+\left(10+6i\right)})$$

Mahia ngā tāpiri i roto o 40+36+\left(24-60\right)i.

$$Re(\frac{76-36i}{4-6i+\left(10+6i\right)})$$

Whakakotahitia ngā tau tūturu me ngā tau pōhewa i roto o 4-6i me te 10+6i.

$$Re(\frac{76-36i}{4+10+\left(-6+6\right)i})$$

Tāpiri 4 ki te 10. Tāpiri -6 ki te 6.

$$Re(\frac{76-36i}{14})$$

Whakawehea te 76-36i ki te 14, kia riro ko \frac{38}{7}-\frac{18}{7}i.

$$Re(\frac{38}{7}-\frac{18}{7}i)$$

Ko te wāhi tūturu o \frac{38}{7}-\frac{18}{7}i ko \frac{38}{7}.

$$\frac{38}{7}$$