Whakaoti i te 3x^2+4y-6=0

$$3 x ^ { 2 } + 4 y - 6 = 0$$

Whakaoti mō y

$$y=-\frac{3x^{2}}{4}+\frac{3}{2}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$4y-6=-3x^{2}$$

Me tāpiri te 6 ki ngā taha e rua.

$$4y=-3x^{2}+6$$

He hanga arowhānui tō te whārite.

$$4y=6-3x^{2}$$

Whakawehea ngā taha e rua ki te 4.

$$\frac{4y}{4}=\frac{6-3x^{2}}{4}$$

Mā te whakawehe ki te 4 ka wetekia te whakareanga ki te 4.

$$y=\frac{6-3x^{2}}{4}$$

Whakawehe -3x^{2}+6 ki te 4.

$$y=-\frac{3x^{2}}{4}+\frac{3}{2}$$

Whakaoti mō x (complex solution)

$$x=-\frac{\sqrt{18-12y}}{3}$$

$$x=\frac{\sqrt{18-12y}}{3}$$

Whakaoti mō x

$$x=\frac{\sqrt{18-12y}}{3}$$

$$x=-\frac{\sqrt{18-12y}}{3}\text{, }y\leq \frac{3}{2}$$