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# GCSE Maths algebraic fractions question watch

1. Help! Maths paper tomorrow and saw this somewhere on a non-calc paper. I know its probably easy, but i'm sure i'm doing something wrong (keep messing up)

1/x-2 + 2/x+4 = 1/3

Solve it someone and show me how to do this in the quickest way!! (before i go mad )
2. (Original post by shrewd_kitten)
Help! Maths paper tomorrow and saw this somewhere on a non-calc paper. I know its probably easy, but i'm sure i'm doing something wrong (keep messing up)

1/x-2 + 2/x+4 = 1/3

Solve it someone and show me how to do this in the quickest way!! (before i go mad )
multiply everything by 3(x-2)(x+4)
3. (Original post by shrewd_kitten)
Help! Maths paper tomorrow and saw this somewhere on a non-calc paper. I know its probably easy, but i'm sure i'm doing something wrong (keep messing up)

1/x-2 + 2/x+4 = 1/3

Solve it someone and show me how to do this in the quickest way!! (before i go mad )
[x+4 + 2(x-2)] / (x-2)(x+4) = 1/3

3x / (x-2)(x+4) = 1/3

9x = (x-2)(x+4)

9x = x^2 + 2x -8

x^2 - 7x - 8 = 0

(x-8)(x+1) = 0

Therefore x=8, or x=-1
4. (Original post by shrewd_kitten)
Help! Maths paper tomorrow and saw this somewhere on a non-calc paper. I know its probably easy, but i'm sure i'm doing something wrong (keep messing up)

1/x-2 + 2/x+4 = 1/3

Solve it someone and show me how to do this in the quickest way!! (before i go mad )
multiply the left fraction by x+4/x+4 and the right by x-2/x-2 so both denominators are the same then add them together and cross multiply then re-arrange and solve.
5. take all the numbers to one side and keep all the x's on the other side.
so you get 1/x + 2/x = 7/3
then you just do the sum.
6. Thanks everyone! my crisis has passed. turns out i was doing it correctly but am just not v. good at factorising (lol..figures..thats prob the easiest bit of the question). I got to the x^2-7x-8 bit and stopped and didn't see how to factorise it (i'm just not a good 'factorisor') anyway, thank you!

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Updated: June 7, 2004
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