Solve t2f(x)=sqrt{x}

$$t 2 f ( x ) = \sqrt { x }$$

Solve for f (complex solution)

$$\left\{\begin{matrix}f=\frac{x^{-\frac{1}{2}}}{t_{2}}\text{, }&x\neq 0\text{ and }t_{2}\neq 0\\f\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$t_{2}xf=\sqrt{x}$$

Divide both sides by t_{2}x.

$$\frac{t_{2}xf}{t_{2}x}=\frac{\sqrt{x}}{t_{2}x}$$

Dividing by t_{2}x undoes the multiplication by t_{2}x.

$$f=\frac{\sqrt{x}}{t_{2}x}$$

Divide \sqrt{x} by t_{2}x.

$$f=\frac{x^{-\frac{1}{2}}}{t_{2}}$$

Solve for t_2 (complex solution)

$$\left\{\begin{matrix}t_{2}=\frac{x^{-\frac{1}{2}}}{f}\text{, }&x\neq 0\text{ and }f\neq 0\\t_{2}\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$fxt_{2}=\sqrt{x}$$

Divide both sides by fx.

$$\frac{fxt_{2}}{fx}=\frac{\sqrt{x}}{fx}$$

Dividing by fx undoes the multiplication by fx.

$$t_{2}=\frac{\sqrt{x}}{fx}$$

Divide \sqrt{x} by fx.

$$t_{2}=\frac{x^{-\frac{1}{2}}}{f}$$

Solve for f

$$\left\{\begin{matrix}f=\frac{1}{\sqrt{x}t_{2}}\text{, }&t_{2}\neq 0\text{ and }x>0\\f\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$t_{2}xf=\sqrt{x}$$

Divide both sides by t_{2}x.

$$\frac{t_{2}xf}{t_{2}x}=\frac{\sqrt{x}}{t_{2}x}$$

Dividing by t_{2}x undoes the multiplication by t_{2}x.

$$f=\frac{\sqrt{x}}{t_{2}x}$$

Divide \sqrt{x} by t_{2}x.

$$f=\frac{1}{\sqrt{x}t_{2}}$$

Solve for t_2

$$\left\{\begin{matrix}t_{2}=\frac{1}{\sqrt{x}f}\text{, }&f\neq 0\text{ and }x>0\\t_{2}\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$fxt_{2}=\sqrt{x}$$

Divide both sides by fx.

$$\frac{fxt_{2}}{fx}=\frac{\sqrt{x}}{fx}$$

Dividing by fx undoes the multiplication by fx.

$$t_{2}=\frac{\sqrt{x}}{fx}$$

Divide \sqrt{x} by fx.

$$t_{2}=\frac{1}{\sqrt{x}f}$$