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# Quadratics

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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.

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