Solve 25-sqrt{x-6}=0

$$25 - \sqrt { x - 6 } = 0$$

Solve for x

$$x=631$$

Steps for Solving Radical Equations

Subtract 25 from both sides of the equation.

$$-\sqrt{x-6}+25-25=-25$$

Subtracting 25 from itself leaves 0.

$$-\sqrt{x-6}=-25$$

Divide both sides by -1.

$$\frac{-\sqrt{x-6}}{-1}=-\frac{25}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$\sqrt{x-6}=-\frac{25}{-1}$$

Divide -25 by -1.

$$\sqrt{x-6}=25$$

Square both sides of the equation.

$$x-6=625$$

Add 6 to both sides of the equation.

$$x-6-\left(-6\right)=625-\left(-6\right)$$

Subtracting -6 from itself leaves 0.

$$x=625-\left(-6\right)$$

Subtract -6 from 625.

$$x=631$$