Solve sqrt{3}x-1=1/2

$$\sqrt { 3 } x - 1 = \frac { 1 } { 2 }$$

Solve for x

$$x=\frac{\sqrt{3}}{2}\approx 0.866025404$$

Steps for Solving Linear Equation

Add 1 to both sides.

$$\sqrt{3}x=\frac{1}{2}+1$$

Convert 1 to fraction \frac{2}{2}.

$$\sqrt{3}x=\frac{1}{2}+\frac{2}{2}$$

Since \frac{1}{2} and \frac{2}{2} have the same denominator, add them by adding their numerators.

$$\sqrt{3}x=\frac{1+2}{2}$$

Add 1 and 2 to get 3.

$$\sqrt{3}x=\frac{3}{2}$$

Divide both sides by \sqrt{3}.

$$\frac{\sqrt{3}x}{\sqrt{3}}=\frac{\frac{3}{2}}{\sqrt{3}}$$

Dividing by \sqrt{3} undoes the multiplication by \sqrt{3}.

$$x=\frac{\frac{3}{2}}{\sqrt{3}}$$

Divide \frac{3}{2} by \sqrt{3}.

$$x=\frac{\sqrt{3}}{2}$$