[zed963]

I have this question

But I'm getting the wrong answer.

[zed963]

I have to work out the value of X but I don't know how to.

[notnek]

You are correct so far. Next, you can silmplify the 3x and the 4x on the numerator.

After that, move the to the right-hand side i.e. multiply both sides by . Then simplify and solve.

[zed963]

(Original post by notnek)
You are correct so far. Next, you can silmplify the 3x and the 4x on the numerator.

After that, move the to the right-hand side i.e. multiply both sides by . Then simplify and solve.

So I've simplified the numerator,


and what exactly do you mean when you times the whole fraction by x^2

[zed963]

And what's the best method to solve these type of questions.

The book shows a different method to what I am doing,

However I am now starting to get confused when it comes to simplifying algebraic fraction when it involves cancelling things out etc.

[DarkPeople]

Multiply the whole equation by (x^2 + x) and then rearrange to get it in the form of ax^2 + bx + c = 0 then factorise to work out the values of x

[TheGoat]

(Original post by zed963)
And what's the best method to solve these type of questions.

The book shows a different method to what I am doing,

However I am now starting to get confused when it comes to simplifying algebraic fraction when it involves cancelling things out etc.

Usually you just have to get rid of all denominators and then solve for x.

[TenOfThem]

(Original post by zed963)
So I've simplified the numerator,


and what exactly do you mean when you times the whole fraction by x^2

You seem to have mislaid the whole =1 part of the question

[zed963]

(Original post by TenOfThem)
You seem to have mislaid the whole =1 part of the question

Oops, so what is the best way of doing this question?

And please can you show me an example solution to this type of question.

Thanks.

[notnek]

(Original post by zed963)
Oops, so what is the best way of doing this question?

And please can you show me an example solution to this type of question.

Thanks.

e.g.



Here I've moved the to the right-hand-side. Does this make sense to you?

Try to do a similar thing for your question. Then simplify and solve the resulting quadratic equation.

[TenOfThem]

Your method is fine

you are at the point of



So that means



Just a quadratic

[zed963]

(Original post by TenOfThem)
Your method is fine

you are at the point of



So that means



Just a quadratic

so

x^2+2x-3

when rearranged.

[notnek]

(Original post by zed963)
so

x^2+2x-3

when rearranged.

What happened to the equals sign?

If you start with an equation then you should still have an equation after you rearrange.

[TenOfThem]

(Original post by notnek)
What happened to the equals sign?

Again

[zed963]

(Original post by notnek)
What happened to the equals sign?

If you start with an equation then you should still have an equation after you rearrange.

I forgot the =0 bit

Typo

But from then on when I factorise the equation I get



Thank you for explaining how to solve this equation to me.

Much appreciated

[TenOfThem]

(Original post by zed963)

Much appreciated

Sometimes you get a fraction on the RHS too, then it makes sense to simply multiply through by the common denominator from the start

eg



would become



which gives



giving

[zed963]

I have this question and so far I have an idea of what I am doing but from there on I don't know what to do

Here's my working out.



How should I carry on with this question?

[Groat]

(Original post by zed963)
I have this question and so far I have an idea of what I am doing but from there on I don't know what to do

Here's my working out.



How should I carry on with this question?

Can you work it out from there?

[zed963]

(Original post by Groat)


Can you work it out from there?

Yes I originally thought of that

so if I did the root of 2.5 it gives +1.58 and -1.58

[zed963]

The answer in the book is -1.5 and 2