Question2
Select the correct answer.
Solve this equation. $$\frac{x+4}{6 x}=\frac{1}{x}$$ A. $x=2$ B. $x=0,-2$ C. $x=-2$ D. $x=0,2$ Reset

Studdy Solution
Check for extraneous solutions by substituting $x = 2$ back into the original equation:
Original equation: $$\frac{x+4}{6x} = \frac{1}{x}$$
Substitute $x = 2$: $$\frac{2+4}{6 \times 2} = \frac{1}{2}$$ $$\frac{6}{12} = \frac{1}{2}$$ $$\frac{1}{2} = \frac{1}{2}$$
The solution $x = 2$ is valid.
The correct answer is:
$$\boxed{x = 2}$$