solve: 1 / x + 2 + 1 / x - 2= 1 / x^2 - 4

a)-2
b) 2
c)-1/2
d) 1/2

3 answers

you probably meant to type
1/(x + 2) + 1/(x - 2) = 1/(x^2 - 4)

multiply each term by x^2 - 4, ( which factors to (x+2)(x-2) )

x-2 + x+2 = 1
2x = 1
x = 1/2
multiply both sides by (x+2)(x-2)

x-2+x+2=1
x= 1/2
thanks reiny
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