Datrys y=sqrt{x+y}

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

Datrys ar gyfer x

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

$$y\geq 0$$

Camau ar gyfer Datrys Hafaliadau Radical

Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

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

Sgwariwch ddwy ochr yr hafaliad.

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

Tynnu y o ddwy ochr yr hafaliad.

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

Mae tynnu y o’i hun yn gadael 0.

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

Tynnu y o y^{2}.

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

Datrys ar gyfer x (complex solution)

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

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

Datrys ar gyfer y (complex solution)

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

Datrys ar gyfer y

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