# Math

1/x+1-1/x+2=1/6

Must have 2 solutions

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1. 1 / x + 1 - 1 / x + 2 = 1 / 6

1 / x - 1 / x + 1 + 2 = 1 / 6

3 = 1 / 6

Makes no sense.

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2. 👎
2. however,

1/(x+1) - 1/(x+2) = 1/6
can be solved by rewriting it as
6(x+2) - 6(x+1) = (x+1)(x+2)
6x + 12 - 6x - 6 = x^2 + 3x + 2
x^2 + 3x - 4 = 0
(x+4)(x-1) = 0
x = -4,1

Now you know how useful parentheses can be. Always use them when posting problems where it's not clear how to group the terms.

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2. 👎

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