Whakaoti i te 2x+3y^2=8x

$$2 x + 3 y ^ { 2 } = 8 x$$

Whakaoti mō x

$$x=\frac{y^{2}}{2}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 8x mai i ngā taha e rua.

$$2x+3y^{2}-8x=0$$

Pahekotia te 2x me -8x, ka -6x.

$$-6x+3y^{2}=0$$

Tangohia te 3y^{2} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-6x=-3y^{2}$$

Whakawehea ngā taha e rua ki te -6.

$$\frac{-6x}{-6}=-\frac{3y^{2}}{-6}$$

Mā te whakawehe ki te -6 ka wetekia te whakareanga ki te -6.

$$x=-\frac{3y^{2}}{-6}$$

Whakawehe -3y^{2} ki te -6.

$$x=\frac{y^{2}}{2}$$

Whakaoti mō y (complex solution)

$$y=-\sqrt{2x}$$

$$y=\sqrt{2x}$$

Whakaoti mō y

$$y=\sqrt{2x}$$

$$y=-\sqrt{2x}\text{, }x\geq 0$$