Solve y=1-sqrt{x}

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

Solve for x

$$x=\left(1-y\right)^{2}$$

$$1-y\geq 0$$

Steps for Solving Radical Equations

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

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

Subtract 1 from both sides.

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

Divide both sides by -1.

$$\frac{-\sqrt{x}}{-1}=\frac{y-1}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$\sqrt{x}=\frac{y-1}{-1}$$

Divide y-1 by -1.

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

Square both sides of the equation.

$$x=\left(1-y\right)^{2}$$

Solve for x (complex solution)

$$x=\left(1-y\right)^{2}$$

$$y=1\text{ or }arg(1-y)<\pi$$

Solve for y (complex solution)

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

Solve for y

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

$$x\geq 0$$