Question

Solve the following equation for a : (1/(a+2)) + (1/(a-2)) =4/(a²-4).

Answer 1

Answer:

a = 2

Step-by-step explanation:

Given equation:

$\frac{1}{(a+2)} + \frac{1}{(a-2)} =\frac{4}{(a^2-4)}$

now,

considering the LHS

⇒ $\frac{1}{(a+2)} + \frac{1}{(a-2)}$

or

⇒ $\frac{(a-2)+(a+2)}{(a+2)\times(a-2)}$

or

⇒ $\frac{2a}{(a^2-4)}$

now,

substituting the result in the original equation, we get

⇒  $\frac{2a}{(a^2-4)} = \frac{4}{(a^2-4)}$

or

⇒ 2a =  $(a^2-4)\times\frac{4}{(a^2-4)}$

or

⇒ 2a = 4

or

a = 2