Solve xxsqrt{3}=1/2y

$$xx \sqrt{ 3 } = \frac{ 1 }{ 2 } y$$

Solve for y

$$y=2\sqrt{3}x^{2}$$

Steps for Solving Linear Equation

Multiply x and x to get x^{2}.

$$x^{2}\sqrt{3}=\frac{1}{2}y$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{1}{2}y=x^{2}\sqrt{3}$$

The equation is in standard form.

$$\frac{1}{2}y=\sqrt{3}x^{2}$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}y}{\frac{1}{2}}=\frac{\sqrt{3}x^{2}}{\frac{1}{2}}$$

Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.

$$y=\frac{\sqrt{3}x^{2}}{\frac{1}{2}}$$

Divide x^{2}\sqrt{3} by \frac{1}{2} by multiplying x^{2}\sqrt{3} by the reciprocal of \frac{1}{2}.

$$y=2\sqrt{3}x^{2}$$

Solve for x (complex solution)

$$x=-\frac{\sqrt[4]{108}\sqrt{y}}{6}$$

$$x=\frac{\sqrt[4]{108}\sqrt{y}}{6}$$

Solve for x

$$x=\frac{\sqrt[4]{108}\sqrt{y}}{6}$$

$$x=-\frac{\sqrt[4]{108}\sqrt{y}}{6}\text{, }y\geq 0$$