Solve +x-sqrt{y}=15

$$+ x - \sqrt { y } = 15$$

Solve for y

$$y=\left(x-15\right)^{2}$$

$$x-15\geq 0$$

Steps for Solving Radical Equations

Subtract x from both sides of the equation.

$$-\sqrt{y}+x-x=15-x$$

Subtracting x from itself leaves 0.

$$-\sqrt{y}=15-x$$

Divide both sides by -1.

$$\frac{-\sqrt{y}}{-1}=\frac{15-x}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$\sqrt{y}=\frac{15-x}{-1}$$

Divide 15-x by -1.

$$\sqrt{y}=x-15$$

Square both sides of the equation.

$$y=\left(x-15\right)^{2}$$

Solve for x (complex solution)

$$x=\sqrt{y}+15$$

Solve for y (complex solution)

$$y=\left(x-15\right)^{2}$$

$$x=15\text{ or }arg(x-15)<\pi$$

Solve for x

$$x=\sqrt{y}+15$$

$$y\geq 0$$