Whakaoti i te 96p^2+(y-x)p-y=0*xp

$$96 p ^ { 2 } + ( y - x ) p - y = 0 \cdot x p$$

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}x=y+96p-\frac{y}{p}\text{, }&p\neq 0\\x\in \mathrm{C}\text{, }&p=0\text{ and }y=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$96p^{2}+yp-xp-y=0xp$$

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$96p^{2}+yp-xp-y=0$$

Tangohia te 96p^{2} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$yp-xp-y=-96p^{2}$$

Tangohia te yp mai i ngā taha e rua.

$$-xp-y=-96p^{2}-yp$$

Me tāpiri te y ki ngā taha e rua.

$$-xp=-96p^{2}-yp+y$$

He hanga arowhānui tō te whārite.

$$\left(-p\right)x=-py+y-96p^{2}$$

Whakawehea ngā taha e rua ki te -p.

$$\frac{\left(-p\right)x}{-p}=\frac{-py+y-96p^{2}}{-p}$$

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

$$x=\frac{-py+y-96p^{2}}{-p}$$

Whakawehe -96p^{2}-yp+y ki te -p.

$$x=y+96p-\frac{y}{p}$$

Whakaoti mō x

$$\left\{\begin{matrix}x=y+96p-\frac{y}{p}\text{, }&p\neq 0\\x\in \mathrm{R}\text{, }&p=0\text{ and }y=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$96p^{2}+yp-xp-y=0xp$$

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$96p^{2}+yp-xp-y=0$$

Tangohia te 96p^{2} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$yp-xp-y=-96p^{2}$$

Tangohia te yp mai i ngā taha e rua.

$$-xp-y=-96p^{2}-yp$$

Me tāpiri te y ki ngā taha e rua.

$$-xp=-96p^{2}-yp+y$$

He hanga arowhānui tō te whārite.

$$\left(-p\right)x=-py+y-96p^{2}$$

Whakawehea ngā taha e rua ki te -p.

$$\frac{\left(-p\right)x}{-p}=\frac{-py+y-96p^{2}}{-p}$$

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

$$x=\frac{-py+y-96p^{2}}{-p}$$

Whakawehe -96p^{2}-yp+y ki te -p.

$$x=y+96p-\frac{y}{p}$$

Whakaoti mō p (complex solution)

$$p=\frac{\sqrt{x^{2}-2xy+y^{2}+384y}+x-y}{192}$$

$$p=\frac{-\sqrt{x^{2}-2xy+y^{2}+384y}+x-y}{192}$$

Whakaoti mō p

$$p=\frac{\sqrt{x^{2}-2xy+y^{2}+384y}+x-y}{192}$$

$$p=\frac{-\sqrt{x^{2}-2xy+y^{2}+384y}+x-y}{192}\text{, }y\geq x+\frac{\sqrt{147456-1536x}}{2}-192\text{ or }y\leq x-\frac{\sqrt{147456-1536x}}{2}-192\text{ or }x\geq 96$$