Whakaoti i te x^2+6x=y(x-6)

$$x ^ { 2 } + 6 x = y ( x - 6 )$$

Whakaoti mō y

$$y=-\frac{x\left(x+6\right)}{6-x}$$

$$x\neq 6$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te y ki te x-6.

$$x^{2}+6x=yx-6y$$

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

$$yx-6y=x^{2}+6x$$

Pahekotia ngā kīanga tau katoa e whai ana i te y.

$$\left(x-6\right)y=x^{2}+6x$$

Whakawehea ngā taha e rua ki te x-6.

$$\frac{\left(x-6\right)y}{x-6}=\frac{x\left(x+6\right)}{x-6}$$

Mā te whakawehe ki te x-6 ka wetekia te whakareanga ki te x-6.

$$y=\frac{x\left(x+6\right)}{x-6}$$

Whakaoti mō x (complex solution)

$$x=\frac{\sqrt{y^{2}-36y+36}+y-6}{2}$$

$$x=\frac{-\sqrt{y^{2}-36y+36}+y-6}{2}$$

Whakaoti mō x

$$x=\frac{\sqrt{y^{2}-36y+36}+y-6}{2}$$

$$x=\frac{-\sqrt{y^{2}-36y+36}+y-6}{2}\text{, }y\geq 12\sqrt{2}+18\text{ or }y\leq 18-12\sqrt{2}$$