Solve a/36+36/a=x

$$\frac { a } { 36 } + \frac { 36 } { a } = x$$

Solve for x

$$x=\frac{a}{36}+\frac{36}{a}$$

$$a\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 36a, the least common multiple of 36,a.

$$aa+36\times 36=x\times 36a$$

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

$$a^{2}+36\times 36=x\times 36a$$

Multiply 36 and 36 to get 1296.

$$a^{2}+1296=x\times 36a$$

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

$$x\times 36a=a^{2}+1296$$

The equation is in standard form.

$$36ax=a^{2}+1296$$

Divide both sides by 36a.

$$\frac{36ax}{36a}=\frac{a^{2}+1296}{36a}$$

Dividing by 36a undoes the multiplication by 36a.

$$x=\frac{a^{2}+1296}{36a}$$

Divide a^{2}+1296 by 36a.

$$x=\frac{a}{36}+\frac{36}{a}$$

Solve for a (complex solution)

$$a=18\left(\sqrt{x^{2}-4}+x\right)$$

$$a=18\left(-\sqrt{x^{2}-4}+x\right)$$

Solve for a

$$a=18\left(\sqrt{x^{2}-4}+x\right)$$

$$a=18\left(-\sqrt{x^{2}-4}+x\right)\text{, }|x|\geq 2$$