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# Few Higher Qs: algebra, denominator rationalising, simultaneous equation, factorising watch

1. (Original post by ozzyoscy)
Yikes, no need to be a **** about it. If removing like terms isn't one of the processes to finding the answer, then I don't know the answer.
You have an equation with only x in it, so solve it to find x.
2. (Original post by james22)
You have an equation with only x in it, so solve it to find x.
Yup.
3. (Original post by ozzyoscy)
Yup.
What do you get?
4. (Original post by james22)
What do you get?
I've got it down to y^2 = 5x^2 + 5x + 6. I'm not sure what else more I can simplify or convert.
5. (Original post by ozzyoscy)
I've got it down to y^2 = 5x^2 + 5x + 6. I'm not sure what else more I can simplify or convert.
No, that is an equation in x and y, you need one in olny x. Look at tenofthem's previous post:

(Original post by TenOfThem)
This is correct so you have

Which you need to solve to find x

This is nonsense
The equation there is only in terms of x so can be solved to find x. When solving simultanious equations you have to get to an equation with only 1 unknown.
6. (Original post by james22)
No, that is an equation in x and y, you need one in olny x. Look at tenofthem's previous post:

The equation there is only in terms of x so can be solved to find x. When solving simultanious equations you have to get to an equation with only 1 unknown.
So how do I solve it? I'm doing something wrong.

If I remove like terms there, I get 5x^2 + 8x - 6 = x
7. (Original post by ozzyoscy)
So how do I solve it? I'm doing something wrong.
Just move all the terms to one side so you have something=0 then simplify and you will have a quadratic equation in x. Can you solve it now?
8. (Original post by ozzyoscy)
If I remove like terms there, I get 5x^2 + 8x - 6 = x
OK so now move that x across so you get 5x^2+7x-6=0 and solve it how you would solve any other quadratic equation.
9. (Original post by james22)
OK so now move that x across so you get 5x^2+7x-6=0 and solve it how you would solve any other quadratic equation.
I get (5x - 3)(x + 2)

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