You are Here: Home >< Maths

# AQA Core1 May 2013 question 4 Watch

1. Part b ii) says show that the x-co-ordinates of any stationary points on the curve (y = x^4 -8x^2 + 60x + 7) satisfy the equation x^3 - 4x + 15 =0.

That bit seemed OK

Then part iii) said Use the results above to show the only stationary point on the curve occurs when x = -3.

The answers that I have seen on the forum for the exam starts to use b^2-4ac and to show there is no real solution.

But isn't that for finding roots? I've never used it in the context of stationary points. Has anyone got a resource that I could look at/visit to explain that bit to me please?
2. You've already shown that (x, f(x)) is a stationary point if and only if x^3 - 4x + 15 = 0.
What does this tell you about when x=-3?
And what information does that give you about what other roots of x^3 - 4x + 15 exist?
3. Oh I get it.

Roots are solutions.

I might not have explained properly what I'm actually thinking but it now makes sense in my head.

Thanks

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: May 14, 2013
Today on TSR

### Anxious about my Oxford offer

What should I do?

### US couple arrested - 13 children chained up

Discussions on TSR

• Latest
• ## See more of what you like on The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

• Poll
Useful resources

### 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

## Groups associated with this forum:

View associated groups
Discussions on TSR

• Latest
• ## See more of what you like on The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

• 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