Whakaoti i te 3x^2+7=8y/2

$$3 x ^ { 2 } + 7 = \frac { 8 y } { 2 }$$

Whakaoti mō y

$$y=\frac{3x^{2}+7}{4}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te 2.

$$6x^{2}+14=8y$$

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

$$8y=6x^{2}+14$$

Whakawehea ngā taha e rua ki te 8.

$$\frac{8y}{8}=\frac{6x^{2}+14}{8}$$

Mā te whakawehe ki te 8 ka wetekia te whakareanga ki te 8.

$$y=\frac{6x^{2}+14}{8}$$

Whakawehe 6x^{2}+14 ki te 8.

$$y=\frac{3x^{2}+7}{4}$$

Whakaoti mō x (complex solution)

$$x=-\frac{\sqrt{12y-21}}{3}$$

$$x=\frac{\sqrt{12y-21}}{3}$$

Whakaoti mō x

$$x=\frac{\sqrt{12y-21}}{3}$$

$$x=-\frac{\sqrt{12y-21}}{3}\text{, }y\geq \frac{7}{4}$$