Turn on thread page Beta
 You are Here: Home >< Maths

# Fp1 Question watch

1. Hey im struggling with this question on further rational functions and max and min points.

Q: A curve has equation y = x^2-6 / x^2+4x+5

a) prove that the curve only exists for -3< or equal to y< or equal to 2

b) Hence determine the co-ordinates of stationary points of the curve.

Ive tried a)

I multiplied y by x^2+4x+5 which gives yx^2+4xy+5y - x^2+6 = 0

then i tried to factor out the y's : (y-1)x^2 + y(4x+5) +6=0

Then I would assume you would do b^2-4ac >(greather than or equal to) 0

But by now I've made an error some where as that doesnt work (or maybe im doing it wrong lol).

2. bump
3. (Original post by marek35)
bump
You have the right idea but you lost the plot when forming your quadratic.

You should have obtained:

4. (Original post by Mr M)
You have the right idea but you lost the plot when forming your quadratic.

You should have obtained:

lol Im guessing I messed up whereby a quadratic is in the form ax^2 +bx+c

Makes sense.

Cheers!

EDIT: This is the problem ive been having all along.. getting them right now thanks Mr M!
5. (Original post by marek35)
lol Im guessing I messed up whereby a quadratic is in the form ax^2 +bx+c

Makes sense.

Cheers!

EDIT: This is the problem ive been having all along.. getting them right now thanks Mr M!
Good stuff.

Turn on thread page Beta

### Related university courses

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: March 25, 2011
The home of Results and Clearing

### 2,910

people online now

### 1,567,000

students helped last year
Today on TSR

### University open days

1. London Metropolitan University
Sat, 18 Aug '18
2. Edge Hill University
Sat, 18 Aug '18
3. Bournemouth University
Clearing Open Day Undergraduate
Sat, 18 Aug '18
Poll
Useful resources

## Make your revision easier

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams

Can you help? Study help unanswered threads

## Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE