Whakaoti i te 81=z^2(3m+2)

$$81 = z ^ { 2 } ( 3 m + 2 )$$

Whakaoti mō m

$$m=-\frac{2}{3}+\frac{27}{z^{2}}$$

$$z\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te z^{2} ki te 3m+2.

$$81=3z^{2}m+2z^{2}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$3z^{2}m+2z^{2}=81$$

Tangohia te 2z^{2} mai i ngā taha e rua.

$$3z^{2}m=81-2z^{2}$$

Whakawehea ngā taha e rua ki te 3z^{2}.

$$\frac{3z^{2}m}{3z^{2}}=\frac{81-2z^{2}}{3z^{2}}$$

Mā te whakawehe ki te 3z^{2} ka wetekia te whakareanga ki te 3z^{2}.

$$m=\frac{81-2z^{2}}{3z^{2}}$$

Whakawehe 81-2z^{2} ki te 3z^{2}.

$$m=-\frac{2}{3}+\frac{27}{z^{2}}$$

Whakaoti mō z (complex solution)

$$z=-9\left(3m+2\right)^{-\frac{1}{2}}$$

$$z=9\left(3m+2\right)^{-\frac{1}{2}}\text{, }m\neq -\frac{2}{3}$$

Whakaoti mō z

$$z=\frac{9}{\sqrt{3m+2}}$$

$$z=-\frac{9}{\sqrt{3m+2}}\text{, }m>-\frac{2}{3}$$