AS Maths Question
Hello, any guidance on how to complete the following question would be much appreciated:
Given that the equation 3jx - jx^2 + 1 = 0, where j is a constant, has no real roots, find the range of possible values of j.
My ideas are:
b^2 - 4ac < 0
(not sure how to treat the j for this?)
Thanks for your time
Given that the equation 3jx - jx^2 + 1 = 0, where j is a constant, has no real roots, find the range of possible values of j.
My ideas are:
b^2 - 4ac < 0
(not sure how to treat the j for this?)
Thanks for your time
(edited 6 years ago)
Yup you are correct, use that inequality and solve.
That's correct. Use the inequality.
Yep using b^2 - 4ac > 0 will work.
b^2 - 4ac > 0 --> 3j^2 + 4j > 0
Solving that quadratic inequality give j > 0 or j < -4/3
b^2 - 4ac > 0 --> 3j^2 + 4j > 0
Solving that quadratic inequality give j > 0 or j < -4/3
Original post by TheBloodlessMan
Yep using b^2 - 4ac > 0 will work.
b^2 - 4ac > 0 --> 3j^2 + 4j > 0
Solving that quadratic inequality give j > 0 or j < -4/3
b^2 - 4ac > 0 --> 3j^2 + 4j > 0
Solving that quadratic inequality give j > 0 or j < -4/3
Thanks very much
Original post by TheBloodlessMan
Yep using b^2 - 4ac > 0 will work.
b^2 - 4ac > 0 --> 3j^2 + 4j > 0
Solving that quadratic inequality give j > 0 or j < -4/3
b^2 - 4ac > 0 --> 3j^2 + 4j > 0
Solving that quadratic inequality give j > 0 or j < -4/3
However, the original equation has the context of no real roots.
Original post by simon0
However, the original equation has the context of no real roots.
I agree, I used the same method but
b^2-4ac < 0
so getting b<0 and b<-4/27
so b<-4/27
Thanks for picking up on that
Quick Reply
Related discussions
- GCSE Exam Discussions 2024
- TSR Study Together - STEM vs Humanities!
- I have a lot OF A-level and GCSE Maths and Further Maths resources. Who's Interested?
- maths a level
- Further maths and maths A level help
- national 5 maths help
- A level physics without maths
- Can i go from 4 to 7 in 6 weeks (Edexcel)
- How should i be revising for maths?
- A Level Maths Checklist
- GCSE Mathematics Study Group 2023-2024
- Isaac Physics SPC Summer School
- How to quickly improve in maths
- Pharmacy interview in wolverhampton
- A*A* in maths + further maths A level - ask me anything
- GCSE Maths Tips and Tricks!
- tips please!
- How do I revise for maths?
- maths revision help
- GCSE Maths
Latest
Trending
Last reply 4 days ago
Did Cambridge maths students find maths and further maths a level very easy?Last reply 2 weeks ago
Edexcel A Level Mathematics Paper 2 unofficial mark scheme correct me if wrongMaths
71
Trending
Last reply 4 days ago
Did Cambridge maths students find maths and further maths a level very easy?Last reply 2 weeks ago
Edexcel A Level Mathematics Paper 2 unofficial mark scheme correct me if wrongMaths
71
