Question

3/x = x/12 what is x? Plz help

Answer 1

Answer:

x = ± 6

Step-by-step explanation:

Given

$\frac{3}{x}$ = $\frac{x}{12}$ ( cross- multiply )

x² = 36 ( take the square root of both sides )

$\sqrt{x^2}$ = ± $\sqrt{36}$, that is

x = ± 6

Answer 2

$\text{Solve for x:}\\\\\frac{3}{x}=\frac{x}{12}\\\\\text{Multiply both sides by x}\\\\3=\frac{x}{12}x\\\\\text{Multiply both sides by 12}\\\\36=x\cdot x\\\\36=x^2\\\\\text{To format it, subtract 36 and}\,\,x^2\text{ on both sides}\\\\-x^2=-36\\\\\text{Divide both sides by -1}\\\\x^2=36\\\\\text{Square root:}\\\\\sqrt x^2=\pm\sqrt36\\\\\boxed{x=6\,\,or\,\,x=-6}$