Solve for y (complex solution)
\left\{\begin{matrix}\\y=\sqrt{x}\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=0\end{matrix}\right.
Solve for y
\left\{\begin{matrix}y=\sqrt{x}\text{, }&x\geq 0\\y\in \mathrm{R}\text{, }&x=0\end{matrix}\right.
Solve for x (complex solution)
\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x=y^{2}\text{, }&arg(y)<\pi \text{ or }y=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x=y^{2}\text{, }&y\geq 0\end{matrix}\right.
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y\sqrt{x}=x
Swap sides so that all variable terms are on the left hand side.
\sqrt{x}y=x
The equation is in standard form.
\frac{\sqrt{x}y}{\sqrt{x}}=\frac{x}{\sqrt{x}}
Divide both sides by \sqrt{x}.
y=\frac{x}{\sqrt{x}}
Dividing by \sqrt{x} undoes the multiplication by \sqrt{x}.
y=\sqrt{x}
Divide x by \sqrt{x}.
y\sqrt{x}=x
Swap sides so that all variable terms are on the left hand side.
\sqrt{x}y=x
The equation is in standard form.
\frac{\sqrt{x}y}{\sqrt{x}}=\frac{x}{\sqrt{x}}
Divide both sides by \sqrt{x}.
y=\frac{x}{\sqrt{x}}
Dividing by \sqrt{x} undoes the multiplication by \sqrt{x}.
y=\sqrt{x}
Divide x by \sqrt{x}.
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