Verified answer

x/(x - 2) + x/(x + 2) = 98/(x^2 - 4)

x/(x - 2) + x/(x + 2) = 98/((x+2)(x-2))

now get some common denominators which in this case is ((x+2)(x-2))

((x)(x+2)) / ((x+2)(x-2)) + ((x)(x-2)) / ((x+2)(x-2)) = 98 / ((x+2)(x-2))

so now that the denominators are all the same they can be ignored so lets use the numerators to solve for x..

.

(x)(x+2)) + ((x)(x-2)) = 98

x^2 + 2x + x^2 - 2x = 98

2x^2 = 98

x^2 = 49

x = 7 <================= ANSWER

x = -7 <================== ANSWER

now to check your answers..

7/(7 - 2) + 7/(7 + 2) = 98/(7^2 - 4) yup it works

-7/(-7 - 2) + -7/(-7 + 2) = 98/(-7^2 - 4) yup it works

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