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DanielleElmas [232]
3 years ago
5

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

Mathematics
1 answer:
Gnoma [55]3 years ago
5 0

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

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