Solve y=1+x^2/t

$$y = \frac { 1 + x ^ { 2 } } { t }$$

Solve for t (complex solution)

$$\left\{\begin{matrix}t=\frac{x^{2}+1}{y}\text{, }&x\neq -i\text{ and }x\neq i\text{ and }y\neq 0\\t\neq 0\text{, }&\left(x=i\text{ or }x=-i\right)\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable t cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by t.

$$yt=1+x^{2}$$

The equation is in standard form.

$$yt=x^{2}+1$$

Divide both sides by y.

$$\frac{yt}{y}=\frac{x^{2}+1}{y}$$

Dividing by y undoes the multiplication by y.

$$t=\frac{x^{2}+1}{y}$$

Variable t cannot be equal to 0.

$$t=\frac{x^{2}+1}{y}\text{, }t\neq 0$$

Solve for t

$$t=\frac{x^{2}+1}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Variable t cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by t.

$$yt=1+x^{2}$$

The equation is in standard form.

$$yt=x^{2}+1$$

Divide both sides by y.

$$\frac{yt}{y}=\frac{x^{2}+1}{y}$$

Dividing by y undoes the multiplication by y.

$$t=\frac{x^{2}+1}{y}$$

Variable t cannot be equal to 0.

$$t=\frac{x^{2}+1}{y}\text{, }t\neq 0$$

Solve for x (complex solution)

$$x=-\sqrt{ty-1}$$

$$x=\sqrt{ty-1}\text{, }t\neq 0$$

Solve for x

$$x=\sqrt{ty-1}$$

$$x=-\sqrt{ty-1}\text{, }\left(t<0\text{ or }y\geq \frac{1}{t}\right)\text{ and }\left(t>0\text{ or }y\leq \frac{1}{t}\right)\text{ and }t\neq 0$$