Solve ax^2=3

$$a x ^ { 2 } = 3$$

Solve for a

$$a=\frac{3}{x^{2}}$$

$$x\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$x^{2}a=3$$

Divide both sides by x^{2}.

$$\frac{x^{2}a}{x^{2}}=\frac{3}{x^{2}}$$

Dividing by x^{2} undoes the multiplication by x^{2}.

$$a=\frac{3}{x^{2}}$$

Solve for x (complex solution)

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

$$x=\sqrt{3}a^{-\frac{1}{2}}\text{, }a\neq 0$$

Solve for x

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

$$x=-\sqrt{\frac{3}{a}}\text{, }a>0$$