Algebra
posted by Algebra .
Add and simplify:
2/x^216 + 3/x^2 2x8
Now if the numerator of your answer equals 6, what does x equal?
My answer of 5x+16/(x4)(x+4)(x+2) does not match theirs. The correct answer is 2. I don't know how they got there.

yes, you got the right answer for simplifying it.
2/(x^216) + 3/(x^2 2x8) = 5x+16/(x4)(x+4)(x+2)
but the question says that if numerator is equal to 6, what is x? thus we equate the numerator to 6:
5x + 16 = 6
5x = 616
5x = 10
x = 2
hope this helps~ :)