Whakaoti i te 91quad((3+2i)/(-2-5i))

$$91 \quad ( \frac { ( 3 + 2 i ) } { ( - 2 - 5 i ) } )$$

Aromātai

$$-\frac{1456}{29}+\frac{1001}{29}i\approx -50.206896552+34.517241379i$$

Ngā Upane Otinga

Me whakarea te taurunga me te tauraro o \frac{3+2i}{-2-5i} ki te haumi hiato o te tauraro, -2+5i.

$$91\times \frac{\left(3+2i\right)\left(-2+5i\right)}{\left(-2-5i\right)\left(-2+5i\right)}$$

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}.

$$91\times \frac{\left(3+2i\right)\left(-2+5i\right)}{\left(-2\right)^{2}-5^{2}i^{2}}$$

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

$$91\times \frac{\left(3+2i\right)\left(-2+5i\right)}{29}$$

Me whakarea ngā tau matatini 3+2i me -2+5i pēnā i te whakarea huarua.

$$91\times \frac{3\left(-2\right)+3\times \left(5i\right)+2i\left(-2\right)+2\times 5i^{2}}{29}$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$91\times \frac{3\left(-2\right)+3\times \left(5i\right)+2i\left(-2\right)+2\times 5\left(-1\right)}{29}$$

Mahia ngā whakarea i roto o 3\left(-2\right)+3\times \left(5i\right)+2i\left(-2\right)+2\times 5\left(-1\right).

$$91\times \frac{-6+15i-4i-10}{29}$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki -6+15i-4i-10.

$$91\times \frac{-6-10+\left(15-4\right)i}{29}$$

Mahia ngā tāpiri i roto o -6-10+\left(15-4\right)i.

$$91\times \frac{-16+11i}{29}$$

Whakawehea te -16+11i ki te 29, kia riro ko -\frac{16}{29}+\frac{11}{29}i.

$$91\left(-\frac{16}{29}+\frac{11}{29}i\right)$$

Whakareatia 91 ki te -\frac{16}{29}+\frac{11}{29}i.

$$91\left(-\frac{16}{29}\right)+91\times \left(\frac{11}{29}i\right)$$

Mahia ngā whakarea.

$$-\frac{1456}{29}+\frac{1001}{29}i$$

Wāhi Tūturu

$$-\frac{1456}{29} = -50\frac{6}{29} = -50.206896551724135$$

Ngā Upane Otinga

Me whakarea te taurunga me te tauraro o \frac{3+2i}{-2-5i} ki te haumi hiato o te tauraro, -2+5i.

$$Re(91\times \frac{\left(3+2i\right)\left(-2+5i\right)}{\left(-2-5i\right)\left(-2+5i\right)})$$

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}.

$$Re(91\times \frac{\left(3+2i\right)\left(-2+5i\right)}{\left(-2\right)^{2}-5^{2}i^{2}})$$

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

$$Re(91\times \frac{\left(3+2i\right)\left(-2+5i\right)}{29})$$

Me whakarea ngā tau matatini 3+2i me -2+5i pēnā i te whakarea huarua.

$$Re(91\times \frac{3\left(-2\right)+3\times \left(5i\right)+2i\left(-2\right)+2\times 5i^{2}}{29})$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(91\times \frac{3\left(-2\right)+3\times \left(5i\right)+2i\left(-2\right)+2\times 5\left(-1\right)}{29})$$

Mahia ngā whakarea i roto o 3\left(-2\right)+3\times \left(5i\right)+2i\left(-2\right)+2\times 5\left(-1\right).

$$Re(91\times \frac{-6+15i-4i-10}{29})$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki -6+15i-4i-10.

$$Re(91\times \frac{-6-10+\left(15-4\right)i}{29})$$

Mahia ngā tāpiri i roto o -6-10+\left(15-4\right)i.

$$Re(91\times \frac{-16+11i}{29})$$

Whakawehea te -16+11i ki te 29, kia riro ko -\frac{16}{29}+\frac{11}{29}i.

$$Re(91\left(-\frac{16}{29}+\frac{11}{29}i\right))$$

Whakareatia 91 ki te -\frac{16}{29}+\frac{11}{29}i.

$$Re(91\left(-\frac{16}{29}\right)+91\times \left(\frac{11}{29}i\right))$$

Mahia ngā whakarea i roto o 91\left(-\frac{16}{29}\right)+91\times \left(\frac{11}{29}i\right).

$$Re(-\frac{1456}{29}+\frac{1001}{29}i)$$

Ko te wāhi tūturu o -\frac{1456}{29}+\frac{1001}{29}i ko -\frac{1456}{29}.

$$-\frac{1456}{29}$$