Whakaoti i te |frac{z_{1}}{z_{2}}|=frac{|z_{1}|}{|z_{2}|}

$$| \frac { z _ { 1 } } { z _ { 2 } } | = \frac { | z _ { 1 } | } { | z _ { 2 } | }$$

Whakaoti mō z_1

$$z_{1}\in \mathrm{R}$$

$$z_{2}\neq 0$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Uara Pū

Pahekotia ngā kīanga tau ōrite me te whakamahi i ngā āhuatanga o te ōritetanga kia kitea te taurangi ki tētahi taha o te tohu ōrite me ngā tau ki tērā atu taha. Me maumahara ki te whai i te raupapa o ngā paheko.

$$|\frac{1}{z_{2}}z_{1}|=\frac{1}{|z_{2}|}|z_{1}|$$

Me tango \frac{1}{|z_{2}|}|z_{1}| mai i ngā taha e rua o te whārite.

$$|\frac{1}{z_{2}}z_{1}|-\frac{1}{|z_{2}|}|z_{1}|=0$$

Ko te uara pū o tētahi hua he hua nō ngā uara pū.

$$|\frac{1}{z_{2}}||z_{1}|+\left(-\frac{1}{|z_{2}|}\right)|1||z_{1}|=0$$

Tauwehea te |z_{1}|.

$$\frac{1-1}{|z_{2}|}|z_{1}|=0$$

Tāpiri \frac{1}{|z_{2}|} ki te -\frac{1}{|z_{2}|}.

$$\text{true}$$

Whakawehea ngā taha e rua ki te 0.

$$|z_{1}|=\text{Indeterminate}$$

Whakamahia te tautuhinga o te uara pū.

$$z_{1}=\text{Indeterminate} z_{1}=\text{Indeterminate}$$

Whakaoti mō z_2

$$z_{2}\neq 0$$