Solve f(x)=x^2quadx_{0}=1

$$f ( x ) = x ^ { 2 } \quad x _ { 0 } = 1$$

Solve for x_0

$$x_{0}=\frac{1}{x^{2}}$$

$$x\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$x^{2}x_{0}=1$$

Divide both sides by x^{2}.

$$\frac{x^{2}x_{0}}{x^{2}}=\frac{1}{x^{2}}$$

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

$$x_{0}=\frac{1}{x^{2}}$$

Solve for x (complex solution)

$$x=-x_{0}^{-\frac{1}{2}}$$

$$x=x_{0}^{-\frac{1}{2}}\text{, }x_{0}\neq 0$$

Solve for x

$$x=\frac{1}{\sqrt{x_{0}}}$$

$$x=-\frac{1}{\sqrt{x_{0}}}\text{, }x_{0}>0$$