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Mathematics

1 answer:

nasty-shy [4]3 years ago

6 0

Answer:

D) no solution

Step-by-step explanation:

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

x cannot equal 2 or -2 since that would make our fractions equal 1/0 or be undefined

Factor the term on the right

1/ (x-2) + 1/(x+2) = 4/(x-2)(x+2)

Multiply both sides by (x-2) (x+2)

(x-2) (x+2) (1/ (x-2) + 1/(x+2)) = 4/(x-2)(x+2)*(x-2) (x+2)

Distribute

x+2 + (x-2) = 4

Combine like terms

2x = 4

Divide by 2

2x/2 = 4/2

x =2

But this is not a possible solution since that is not in the domain

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