Solve a=sqrt{x-y}

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

Solve for x

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

$$a\geq 0$$

Steps for Solving Radical Equations

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

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

Square both sides of the equation.

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

Subtract -y from both sides of the equation.

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

Subtracting -y from itself leaves 0.

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

Subtract -y from a^{2}.

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

Solve for x (complex solution)

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

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

Solve for a

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

$$x\geq y$$