Question

To solve the rational equation2. 3-x+65X+25how can the expressionX+2be rewritten usingthe least common denominator?

Answer 1

The expression given is:

`(2)/(x)+(3-x)/(6)`

The Least Common Denominator (L.C.D) of the expression is the product of the denominator:

`6* x=6x`

Since

`(2)/(x)+(3-x)/(6)=(5)/(x+2)`

Then, we can multiply both the numerator and denominator with the L.C.D of 6x:

`\begin{gathered} (5)/(x+2) \\ \\ (5)/(x+2)*(6x)/(6x) \\ \\ (30x)/(6x(x+2)) \end{gathered}`

Therefore, the final answer is: Option B