Whakaoti i te 4x+7=3y-2+7x^2

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

Whakaoti mō y

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

Ngā Upane mō te Whakaoti Whārite Rārangi

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

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

Me tāpiri te 2 ki ngā taha e rua.

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

Tāpirihia te 7 ki te 2, ka 9.

$$3y+7x^{2}=4x+9$$

Tangohia te 7x^{2} mai i ngā taha e rua.

$$3y=4x+9-7x^{2}$$

He hanga arowhānui tō te whārite.

$$3y=9+4x-7x^{2}$$

Whakawehea ngā taha e rua ki te 3.

$$\frac{3y}{3}=\frac{9+4x-7x^{2}}{3}$$

Mā te whakawehe ki te 3 ka wetekia te whakareanga ki te 3.

$$y=\frac{9+4x-7x^{2}}{3}$$

Whakawehe 4x+9-7x^{2} ki te 3.

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

Whakaoti mō x (complex solution)

$$x=\frac{-\sqrt{67-21y}+2}{7}$$

$$x=\frac{\sqrt{67-21y}+2}{7}$$

Whakaoti mō x

$$x=\frac{-\sqrt{67-21y}+2}{7}$$

$$x=\frac{\sqrt{67-21y}+2}{7}\text{, }y\leq \frac{67}{21}$$