Solve frac{sqrt{3}}{2}=10/x

$$\frac{ \sqrt{ 3 } }{ 2 } = \frac{ 10 }{ x }$$

Solve for x

$$x = \frac{20 \sqrt{3}}{3} \approx 11.547005384$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x, the least common multiple of 2,x.

$$x\sqrt{3}=2\times 10$$

Multiply 2 and 10 to get 20.

$$x\sqrt{3}=20$$

The equation is in standard form.

$$\sqrt{3}x=20$$

Divide both sides by \sqrt{3}.

$$\frac{\sqrt{3}x}{\sqrt{3}}=\frac{20}{\sqrt{3}}$$

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

$$x=\frac{20}{\sqrt{3}}$$

Divide 20 by \sqrt{3}.

$$x=\frac{20\sqrt{3}}{3}$$