You are Here: Home >< Maths

Announcements
1. How do you do question 7, 8, 9, 10 and 11? I know you're meant to show working but I don't have a clue what to do
2. (Original post by Lucofthewoods)
How do you do question 7, 8, 9, 10 and 11? I know you're meant to show working but I don't have a clue what to do
Key Theory Required:
For a quadratic of the form
if there are two distinct solutions.
if there is a repeated root.
if there are no real solutions.

I will show the method for question 7 then it should be a variant on the method for the rest of the questions.

Question 7:

Therefore there are no real roots to the quadratic.
When , and given that there are no real roots,
for

Hints for other questions in spoiler:
Spoiler:
Show
Q8: Same method as Q7.
Q9: Same method as Q7 but you are proving the opposite (can be done by contradiction).
Q10: Hint:
Q11: Hint:
3. you need to examine the discriminant as the previous poster said.

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: October 2, 2016
Today on TSR

### What if I get all As and one U?

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

Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.