Which solution to the equation (3/a+2)+2/a = 4a-4/a^2-4 is extraneous

Solutions : x=4,-2

Extraneous  solution : x=-2.

Step-by-step explanation:

The given equation is

Taking LCM we get

Cancel out common factors from the denominators.

On cross multiplication we get

Splitting the middle term we get

Using zero product property we get

Extraneous solutions: From the solutions of an equation, the invalid solutions are known as extraneous solutions.

For a=-2 right hand side of the given equation is not defined because the denominator become 0.

Therefore, -2 is an extraneous solution.

i would go with the first one

step-by-step explanation:

hope this