Whakaoti i te 7x^2+8x-3y+7=0

$$7 x ^ { 2 } + 8 x - 3 y + 7 = 0$$

Whakaoti mō y

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

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 7x^{2} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

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

Tangohia te 8x mai i ngā taha e rua.

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

Tangohia te 7 mai i ngā taha e rua.

$$-3y=-7x^{2}-8x-7$$

Whakawehea ngā taha e rua ki te -3.

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

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

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

Whakawehe -7x^{2}-8x-7 ki te -3.

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

Whakaoti mō x (complex solution)

$$x=\frac{\sqrt{21y-33}-4}{7}$$

$$x=\frac{-\sqrt{21y-33}-4}{7}$$

Whakaoti mō x

$$x=\frac{\sqrt{21y-33}-4}{7}$$

$$x=\frac{-\sqrt{21y-33}-4}{7}\text{, }y\geq \frac{11}{7}$$