Solve frac{sqrt{3}}{1}=x+7/x

$$\frac { \sqrt { 3 } } { 1 } = \frac { x + 7 } { x }$$

Solve for x

$$x = \frac{7 {(\sqrt{3} + 1)}}{2} \approx 9.562177826$$

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 x.

$$x\sqrt{3}=x+7$$

Subtract x from both sides.

$$x\sqrt{3}-x=7$$

Combine all terms containing x.

$$\left(\sqrt{3}-1\right)x=7$$

Divide both sides by \sqrt{3}-1.

$$\frac{\left(\sqrt{3}-1\right)x}{\sqrt{3}-1}=\frac{7}{\sqrt{3}-1}$$

Dividing by \sqrt{3}-1 undoes the multiplication by \sqrt{3}-1.

$$x=\frac{7}{\sqrt{3}-1}$$

Divide 7 by \sqrt{3}-1.

$$x=\frac{7\sqrt{3}+7}{2}$$