Whakaoti i te 1+i/i-3/4-i

$$\frac { 1 + i } { i } - \frac { 3 } { 4 - i }$$

Aromātai

$$\frac{5}{17}-\frac{20}{17}i\approx 0.294117647-1.176470588i$$

Ngā Upane Otinga

Me whakarea tahi te taurunga me te tauraro o \frac{1+i}{i} ki te wae pohewa i.

$$\frac{-1+i}{-1}-\frac{3}{4-i}$$

Whakawehea te -1+i ki te -1, kia riro ko 1-i.

$$1-i-\frac{3}{4-i}$$

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

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

Mahia ngā whakarea i roto o \frac{3\left(4+i\right)}{\left(4-i\right)\left(4+i\right)}.

$$1-i-\frac{12+3i}{17}$$

Whakawehea te 12+3i ki te 17, kia riro ko \frac{12}{17}+\frac{3}{17}i.

$$1-i+\left(-\frac{12}{17}-\frac{3}{17}i\right)$$

Tāpirihia te 1-i ki te -\frac{12}{17}-\frac{3}{17}i, ka \frac{5}{17}-\frac{20}{17}i.

$$\frac{5}{17}-\frac{20}{17}i$$

Wāhi Tūturu

$$\frac{5}{17} = 0.29411764705882354$$

Ngā Upane Otinga

Me whakarea tahi te taurunga me te tauraro o \frac{1+i}{i} ki te wae pohewa i.

$$Re(\frac{-1+i}{-1}-\frac{3}{4-i})$$

Whakawehea te -1+i ki te -1, kia riro ko 1-i.

$$Re(1-i-\frac{3}{4-i})$$

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

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

Mahia ngā whakarea i roto o \frac{3\left(4+i\right)}{\left(4-i\right)\left(4+i\right)}.

$$Re(1-i-\frac{12+3i}{17})$$

Whakawehea te 12+3i ki te 17, kia riro ko \frac{12}{17}+\frac{3}{17}i.

$$Re(1-i+\left(-\frac{12}{17}-\frac{3}{17}i\right))$$

Tāpirihia te 1-i ki te -\frac{12}{17}-\frac{3}{17}i, ka \frac{5}{17}-\frac{20}{17}i.

$$Re(\frac{5}{17}-\frac{20}{17}i)$$

Ko te wāhi tūturu o \frac{5}{17}-\frac{20}{17}i ko \frac{5}{17}.

$$\frac{5}{17}$$