Solve x=1-sqrt{y}

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

Solve for y

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

$$1-x\geq 0$$

Steps for Solving Radical Equations

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

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

Subtract 1 from both sides.

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

Divide both sides by -1.

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

Dividing by -1 undoes the multiplication by -1.

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

Divide x-1 by -1.

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

Square both sides of the equation.

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

Solve for x (complex solution)

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

Solve for y (complex solution)

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

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

Solve for x

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

$$y\geq 0$$