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Maths GCSE Question

I was doing a past paper question and found this I've gotten part of the way through looked at the mark scheme and tried but failed to work it out. Hopefully someone can help me understand how to do this. The question is to solve:
3 - 4
------ -------
X-1 X+2

I got to

3x+6-4x+4
--------------
X^2+X-2

Help is greatly appreciated many thanks .
i got 2-x all over (x-1) (x+2) but i have a feeling i am wrong
Original post by Snowystar
I was doing a past paper question and found this I've gotten part of the way through looked at the mark scheme and tried but failed to work it out. Hopefully someone can help me understand how to do this. The question is to solve:
3 - 4
------ -------
X-1 X+2

I got to

3x+6-4x+4
--------------
X^2+X-2

Help is greatly appreciated many thanks .


You can't solve it unless it is equal to something. In terms of the numerator, you can simplify that by collecting the like terms...
The denominator is fine, although you should leave it in its factorised form.



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Snowystar
OP
8
Original post by Chittesh14
You can't solve it unless it is equal to something. In terms of the numerator, you can simplify that by collecting the like terms...
The denominator is fine, although you should leave it in its factorised form.



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Oh whoops it's equal to 2.
Original post by Snowystar
Oh whoops it's equal to 2.


So, if the numerator is equal to -X + 10. The denominator is (X-1)(X+2).

-X + 10
-------------- = 2
(X-1)(X+2)

So, to get rid of the denominator and equate two equations in X, what do you have to do next?


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(edited 7 years ago)
Reply 5
Avatar for Snowystar
Snowystar
OP
8
Original post by Chittesh14
So, if the numerator is equal to -X + 10. The denominator is (X-1)(X+2).

-X + 10
-------------- = 2
(X-1)(X+2)

So, to get rid of the denominator and equate two equations in X, what do you have to do next?


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No clue
Original post by Snowystar
No clue


Multiply the denominator by 2 to get rid off it. Now, it's on the right hand side.
-X + 10 = 2[(X-1)(X+2)]


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Snowystar
OP
8
Original post by Chittesh14
Multiply the denominator by 2 to get rid off it. Now, it's on the right hand side.
-X + 10 = 2[(X-1)(X+2)]


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Thanks so much I finally got the answer
X=-7/2 or X=2
Original post by Snowystar
Thanks so much I finally got the answer
X=-7/2 or X=2


No problem :smile:. Keep posting if you need more help.


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