Solve sqrt{4w+17}+1=4

$$\sqrt { 4 w + 17 } + 1 = 4$$

Solve for w

$$w=-2$$

Steps for Solving Radical Equations

Subtract 1 from both sides of the equation.

$$\sqrt{4w+17}+1-1=4-1$$

Subtracting 1 from itself leaves 0.

$$\sqrt{4w+17}=4-1$$

Subtract 1 from 4.

$$\sqrt{4w+17}=3$$

Square both sides of the equation.

$$4w+17=9$$

Subtract 17 from both sides of the equation.

$$4w+17-17=9-17$$

Subtracting 17 from itself leaves 0.

$$4w=9-17$$

Subtract 17 from 9.

$$4w=-8$$

Divide both sides by 4.

$$\frac{4w}{4}=-\frac{8}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$w=-\frac{8}{4}$$

Divide -8 by 4.

$$w=-2$$