Whakaoti i te 4x^3-5y+z=3

$$4 { x }^{ 3 } -5y+z=3$$

Whakaoti mō y

$$y=\frac{4x^{3}+z-3}{5}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 4x^{3} mai i ngā taha e rua.

$$-5y+z=3-4x^{3}$$

Tangohia te z mai i ngā taha e rua.

$$-5y=3-4x^{3}-z$$

He hanga arowhānui tō te whārite.

$$-5y=3-z-4x^{3}$$

Whakawehea ngā taha e rua ki te -5.

$$\frac{-5y}{-5}=\frac{3-z-4x^{3}}{-5}$$

Mā te whakawehe ki te -5 ka wetekia te whakareanga ki te -5.

$$y=\frac{3-z-4x^{3}}{-5}$$

Whakawehe 3-4x^{3}-z ki te -5.

$$y=\frac{4x^{3}+z-3}{5}$$

Whakaoti mō x (complex solution)

$$x=\frac{4^{\frac{2}{3}}e^{\frac{2\pi i}{3}}\sqrt[3]{5y-z+3}}{4}$$

$$x=\frac{4^{\frac{2}{3}}\sqrt[3]{5y-z+3}}{4}$$

$$x=\frac{4^{\frac{2}{3}}e^{\frac{4\pi i}{3}}\sqrt[3]{5y-z+3}}{4}$$

Whakaoti mō x

$$x=\frac{4^{\frac{2}{3}}\sqrt[3]{5y-z+3}}{4}$$