Réitigh x+sqrt{a}y=0

$$x + \sqrt { a } y = 0$$

Réitigh do a.

$$\left\{\begin{matrix}a=\left(\frac{x}{y}\right)^{2}\text{, }&\left(y>0\text{ and }x\leq 0\right)\text{ or }\left(x\geq 0\text{ and }y<0\right)\\a\geq 0\text{, }&x=0\text{ and }y=0\end{matrix}\right.$$

Céimeanna chun cothromóidí fréimhe a réiteach

Bain x ón dá thaobh den chothromóid.

$$y\sqrt{a}+x-x=-x$$

Má dhealaítear x uaidh féin faightear 0.

$$y\sqrt{a}=-x$$

Roinn an dá thaobh faoi y.

$$\frac{y\sqrt{a}}{y}=-\frac{x}{y}$$

Má roinntear é faoi y cuirtear an iolrúchán faoi y ar ceal.

$$\sqrt{a}=-\frac{x}{y}$$

Cearnaigh an dá thaobh den chothromóid.

$$a=\frac{x^{2}}{y^{2}}$$

Réitigh do a. (complex solution)

$$\left\{\begin{matrix}a=\left(\frac{x}{y}\right)^{2}\text{, }&y\neq 0\text{ and }\left(|arg(\sqrt{\frac{x^{2}}{y^{2}}}y)-arg(-x)|<\pi \text{ or }x=0\right)\\a\in \mathrm{C}\text{, }&x=0\text{ and }y=0\end{matrix}\right.$$

Réitigh do x. (complex solution)

$$x=-\sqrt{a}y$$

Réitigh do x.

$$x=-\sqrt{a}y$$

$$a\geq 0$$