Réitigh yp^2+(x-y)p-x=0

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

Réitigh do x. (complex solution)

$$\left\{\begin{matrix}\\x=-py\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&p=1\end{matrix}\right.$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Úsáid an t-airí dáileach chun x-y a mhéadú faoi p.

$$yp^{2}+xp-yp-x=0$$

Bain yp^{2} ón dá thaobh. Is ionann rud ar bith a dhealaítear ó nialas agus a shéanadh.

$$xp-yp-x=-yp^{2}$$

Cuir yp leis an dá thaobh.

$$xp-x=-yp^{2}+yp$$

Athordaigh na téarmaí.

$$px-x=py-yp^{2}$$

Comhcheangail na téarmaí ar fad ina bhfuil x.

$$\left(p-1\right)x=py-yp^{2}$$

Roinn an dá thaobh faoi -1+p.

$$\frac{\left(p-1\right)x}{p-1}=\frac{py\left(1-p\right)}{p-1}$$

Má roinntear é faoi -1+p cuirtear an iolrúchán faoi -1+p ar ceal.

$$x=\frac{py\left(1-p\right)}{p-1}$$

Roinn yp\left(1-p\right) faoi -1+p.

$$x=-py$$

Réitigh do x.

$$\left\{\begin{matrix}\\x=-py\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&p=1\end{matrix}\right.$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Úsáid an t-airí dáileach chun x-y a mhéadú faoi p.

$$yp^{2}+xp-yp-x=0$$

Bain yp^{2} ón dá thaobh. Is ionann rud ar bith a dhealaítear ó nialas agus a shéanadh.

$$xp-yp-x=-yp^{2}$$

Cuir yp leis an dá thaobh.

$$xp-x=-yp^{2}+yp$$

Athordaigh na téarmaí.

$$px-x=py-yp^{2}$$

Comhcheangail na téarmaí ar fad ina bhfuil x.

$$\left(p-1\right)x=py-yp^{2}$$

Roinn an dá thaobh faoi -1+p.

$$\frac{\left(p-1\right)x}{p-1}=\frac{py\left(1-p\right)}{p-1}$$

Má roinntear é faoi -1+p cuirtear an iolrúchán faoi -1+p ar ceal.

$$x=\frac{py\left(1-p\right)}{p-1}$$

Roinn yp\left(1-p\right) faoi -1+p.

$$x=-py$$

Réitigh do p. (complex solution)

$$\left\{\begin{matrix}\\p=1\text{, }&\text{unconditionally}\\p=-\frac{x}{y}\text{, }&y\neq 0\\p\in \mathrm{C}\text{, }&x=0\text{ and }y=0\end{matrix}\right.$$

Réitigh do p.

$$\left\{\begin{matrix}\\p=1\text{, }&\text{unconditionally}\\p=-\frac{x}{y}\text{, }&y\neq 0\\p\in \mathrm{R}\text{, }&x=0\text{ and }y=0\end{matrix}\right.$$