Solve x^2/a-9=0

$$\frac { x ^ { 2 } } { a } - 9 = 0$$

Solve for a

$$a=\frac{x^{2}}{9}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by a.

$$x^{2}+a\left(-9\right)=0$$

Subtract x^{2} from both sides. Anything subtracted from zero gives its negation.

$$a\left(-9\right)=-x^{2}$$

The equation is in standard form.

$$-9a=-x^{2}$$

Divide both sides by -9.

$$\frac{-9a}{-9}=-\frac{x^{2}}{-9}$$

Dividing by -9 undoes the multiplication by -9.

$$a=-\frac{x^{2}}{-9}$$

Divide -x^{2} by -9.

$$a=\frac{x^{2}}{9}$$

Variable a cannot be equal to 0.

$$a=\frac{x^{2}}{9}\text{, }a\neq 0$$

Solve for x (complex solution)

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

$$x=3\sqrt{a}\text{, }a\neq 0$$

Solve for x

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

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