Issolvi y=sqrt{xy}

$$y= \sqrt{ xy }$$

Solvi għal x

$$\left\{\begin{matrix}x=y\text{, }&y\geq 0\\x\in \mathrm{R}\text{, }&y=0\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjonijiet Radikali

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$\sqrt{xy}=y$$

Ikkwadra ż-żewġ naħat tal-ekwazzjoni.

$$yx=y^{2}$$

Iddividi ż-żewġ naħat b'y.

$$\frac{yx}{y}=\frac{y^{2}}{y}$$

Meta tiddividi b'y titneħħa l-multiplikazzjoni b'y.

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

Iddividi y^{2} b'y.

$$x=y$$

Solvi għal x (complex solution)

$$\left\{\begin{matrix}x=y\text{, }&arg(y)<\pi \text{ or }y=0\\x\in \mathrm{C}\text{, }&y=0\end{matrix}\right.$$

Solvi għal y (complex solution)

$$\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y=x\text{, }&arg(x)<\pi \text{ or }x=0\end{matrix}\right.$$

Solvi għal y

$$\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y=x\text{, }&x\geq 0\end{matrix}\right.$$