Solve y=sqrt{1+x}

$$y = \sqrt { 1 + x }$$

Solve for x

$$x=y^{2}-1$$

$$y\geq 0$$

Steps for Solving Radical Equations

Swap sides so that all variable terms are on the left hand side.

$$\sqrt{1+x}=y$$

Square both sides of the equation.

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

Subtract 1 from both sides of the equation.

$$x+1-1=y^{2}-1$$

Subtracting 1 from itself leaves 0.

$$x=y^{2}-1$$

Solve for x (complex solution)

$$x=y^{2}-1$$

$$arg(y)<\pi \text{ or }y=0$$

Solve for y (complex solution)

$$y=\sqrt{x+1}$$

Solve for y

$$y=\sqrt{x+1}$$

$$x\geq -1$$