Solve sqrt{25-x}-1=5

$$\sqrt { 25 - x } - 1 = 5$$

Solve for x

$$x=-11$$

Steps for Solving Radical Equations

Add 1 to both sides of the equation.

$$\sqrt{-x+25}-1-\left(-1\right)=5-\left(-1\right)$$

Subtracting -1 from itself leaves 0.

$$\sqrt{-x+25}=5-\left(-1\right)$$

Subtract -1 from 5.

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

Square both sides of the equation.

$$-x+25=36$$

Subtract 25 from both sides of the equation.

$$-x+25-25=36-25$$

Subtracting 25 from itself leaves 0.

$$-x=36-25$$

Subtract 25 from 36.

$$-x=11$$

Divide both sides by -1.

$$\frac{-x}{-1}=\frac{11}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$x=\frac{11}{-1}$$

Divide 11 by -1.

$$x=-11$$