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

Question

asked Sep 26, 2020 31.6k views

1 Answer

TeeDeJee · Answer 1 · 2020-09-30T16:04:51+0000

Answer:

a = 2

Explanation:

Given equation:

(1)/((a+2)) + (1)/((a-2)) =(4)/((a^2-4))

now,

considering the LHS

⇒
(1)/((a+2)) + (1)/((a-2))

or

⇒
((a-2)+(a+2))/((a+2)*(a-2))

or

⇒
(2a)/((a^2-4))

now,

substituting the result in the original equation, we get

⇒
(2a)/((a^2-4)) = (4)/((a^2-4))

or

⇒ 2a =
(a^2-4)*(4)/((a^2-4))

or

⇒ 2a = 4

or

a = 2