You are Here: Home >< Maths

# Core 1 Graph Question, someone help please? watch

1. http://www.mei.org.uk/files/papers/c107ja_3hoza9.pdf

Can someone kindly give me a step by step solution to question 11 on this paper, it would be greatly appreciated
2. (Original post by liverpool2044)
http://www.mei.org.uk/files/papers/c107ja_3hoza9.pdf

Can someone kindly give me a step by step solution to question 11 on this paper, it would be greatly appreciated
For part (i) draw suitable lines on the graph to find the points of intersection. Part (ii) is simultaneous equations, and part (iii) you have to consider the graphical plot of the given circle.
3. Okay thanks i now understand how to do 2 and 3, can you help me with the equations of the graphs i need to draw? like the first one, how do i rearrange it to do it?
4. (Original post by liverpool2044)
Okay thanks i now understand how to do 2 and 3, can you help me with the equations of the graphs i need to draw? like the first one, how do i rearrange it to do it?
Well the graph is y = x + (1/x), and it is asking you to find x + (1/x) = 4. So y = ...?

EDIT: sorry, it is x + (1/x)
5. y=4? so the intercept is 4?
6. (Original post by liverpool2044)
y=4? so the intercept is 4?
That's the y coordinate of the intercepts, you need to find the x coordinates because the equation is just in terms of x. How would you do this, knowing that y=4?
7. ohh look for the x intersection with the graph, thank you!

8. (Original post by liverpool2044)
ohh look for the x intersection with the graph, thank you!

Exactly what did you get as your points of intersection?

This one is a little more tricky, you want to end up with x + (1/x) on one side of the equation (so you can use the graph of y = x + (1/x)), so you need to do a bit of rearranging. HINT: consider the 2x term
9. If its one extra x then surely i just move it over so its =4-x? then draw that line and find the intersections?
10. (Original post by liverpool2044)
If its one extra x then surely i just move it over so its =4-x? then draw that line and find the intersections?
Exactly! Well done.
11. thanks for your help appreciated, do you reckon you could help me on the other thread im stuck on?
12. (Original post by liverpool2044)
thanks for your help appreciated, do you reckon you could help me on the other thread im stuck on?
13. http://www.mei.org.uk/files/papers/J..._2013_June.pdf

12iii? I got to the equation and i know i need to use b^2-4ac but i dont know how to with the long equation?
14. (Original post by liverpool2044)
http://www.mei.org.uk/files/papers/J..._2013_June.pdf

12iii? I got to the equation and i know i need to use b^2-4ac but i dont know how to with the long equation?
What equation did you get?
15. x^2 - (k+2)x+2k+1=0
16. (Original post by liverpool2044)
x^2 - (k+2)x+2k+1=0
Looks good to me! Now you have to apply b^2 - 4ac... remember that k is a constant.
17. This is where im confused! i dont know what to put in where
18. (Original post by liverpool2044)
This is where im confused! i dont know what to put in where

Just match this up with your equation. I'm guessing you're having a problem with the "c" term?
19. i think its the bx thats confusing me, so its b^2 - 4 =0?
20. (Original post by liverpool2044)
i think its the bx thats confusing me, so its b^2 - 4 =0?
Nope how many x^2's are there (this is your a). How many x's are there (this is your b). All the other terms which do not have an x in front of them are your "c", just add them all together.

### 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: May 12, 2015
Today on TSR

### A-Level OCR Biology Unofficial Markscheme

Find out how you've done here

### 1,920

students online now

Exam discussions

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