Réitigh y=sqrt{x+y}

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

Réitigh do x.

$$x=y\left(y-1\right)$$

$$y\geq 0$$

Céimeanna chun cothromóidí fréimhe a réiteach

Athraigh na taobhanna ionas go mbeidh na téarmaí inathraitheacha ar fad ar an taobh clé.

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

Cearnaigh an dá thaobh den chothromóid.

$$x+y=y^{2}$$

Bain y ón dá thaobh den chothromóid.

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

Má dhealaítear y uaidh féin faightear 0.

$$x=y^{2}-y$$

Dealaigh y ó y^{2}.

$$x=y\left(y-1\right)$$

Réitigh do x. (complex solution)

$$x=y\left(y-1\right)$$

$$arg(y)<\pi \text{ or }y=0$$

Réitigh do y. (complex solution)

$$\left\{\begin{matrix}y=\frac{-\sqrt{4x+1}+1}{2}\text{, }&arg(\frac{-\sqrt{4x+1}+1}{2})<\pi \text{ or }x=0\\y=\frac{\sqrt{4x+1}+1}{2}\text{, }&arg(\frac{\sqrt{4x+1}+1}{2})<\pi \end{matrix}\right.$$

Réitigh do y.

$$\left\{\begin{matrix}y=\frac{\sqrt{4x+1}+1}{2}\text{, }&x\geq -\frac{1}{4}\\y=\frac{-\sqrt{4x+1}+1}{2}\text{, }&x\geq -\frac{1}{4}\text{ and }x\leq 0\end{matrix}\right.$$