Final answer:
After finding the least common denominator and combining the terms, it is evident that the equation 1/(3a²) - 1/a = 1/(6a²) results in a false statement, -4 = 1, indicating there is no solution among the provided options.
Step-by-step explanation:
To solve the equation 1/(3a²) - 1/a = 1/(6a²), we need to find a common denominator and combine the terms on the left side. Let's first find the least common denominator (LCD) of the fractions, which is 6a².
Multiplying the second term by 6 to have the same denominator, the equation becomes:
(2
Simplifying the left side results in:
(2 - 6)/6a² = 1/6a²
which can be written as:
-4/6a² = 1/6a²
For the equation to be true, the numerators of the fractions must be equal, which gives us:
-4 = 1
This is not possible; thus, there is no solution to this equation. The options provided (A. a=2, B. a=3, C. a=4, D. a=5) do not satisfy the original equation.