Whakaoti i te 3x^2-6x+3y-7=0

$$3 x ^ { 2 } - 6 x + 3 y - 7 = 0$$

Whakaoti mō y

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

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.

$$-6x+3y-7=-3x^{2}$$

Me tāpiri te 6x ki ngā taha e rua.

$$3y-7=-3x^{2}+6x$$

Me tāpiri te 7 ki ngā taha e rua.

$$3y=-3x^{2}+6x+7$$

He hanga arowhānui tō te whārite.

$$3y=7+6x-3x^{2}$$

Whakawehea ngā taha e rua ki te 3.

$$\frac{3y}{3}=\frac{7+6x-3x^{2}}{3}$$

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

$$y=\frac{7+6x-3x^{2}}{3}$$

Whakawehe -3x^{2}+6x+7 ki te 3.

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

Whakaoti mō x (complex solution)

$$x=\frac{\sqrt{30-9y}}{3}+1$$

$$x=-\frac{\sqrt{30-9y}}{3}+1$$

Whakaoti mō x

$$x=\frac{\sqrt{30-9y}}{3}+1$$

$$x=-\frac{\sqrt{30-9y}}{3}+1\text{, }y\leq \frac{10}{3}$$