Solve sqrt{3x-11}+1=3

$$\sqrt { 3 x - 11 } + 1 = 3$$

Solve for x

$$x=5$$

Steps for Solving Radical Equations

Subtract 1 from both sides of the equation.

$$\sqrt{3x-11}+1-1=3-1$$

Subtracting 1 from itself leaves 0.

$$\sqrt{3x-11}=3-1$$

Subtract 1 from 3.

$$\sqrt{3x-11}=2$$

Square both sides of the equation.

$$3x-11=4$$

Add 11 to both sides of the equation.

$$3x-11-\left(-11\right)=4-\left(-11\right)$$

Subtracting -11 from itself leaves 0.

$$3x=4-\left(-11\right)$$

Subtract -11 from 4.

$$3x=15$$

Divide both sides by 3.

$$\frac{3x}{3}=\frac{15}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$x=\frac{15}{3}$$

Divide 15 by 3.

$$x=5$$