Quadratic Equation: Find Roots Range

AI Thread Summary
The discussion revolves around finding the range of roots for the quadratic equation ax^2 + bx + c = 0, given the condition a(12a + 5b + 2c) > 0. Participants emphasize the importance of showing one's own work when seeking help with homework questions. The conversation highlights the application of the sum and product rules of quadratic equations to derive conditions for the roots. A specific inequality, 12 - 5(y + z) + 2yz > 0, is mentioned as a starting point for further analysis. Overall, the thread underscores the necessity of independent effort in solving mathematical problems.
antiparticle
Messages
7
Reaction score
0
If a(12a+5b+2c)>0 and the equation ax^2+bx+c=0 has roots y and z , then find out the range of the roots of the equation ...
 
Physics news on Phys.org
For brainy students!
 
Is this a homework question of yours?
 
Insulting our intelligence isn't very nice if you're asking for help!
 
Well, so you have got:
ay^{2}+by+c=0
az^{2}+bz+c=0
Along with your inequality.

Have you any brainy suggestions of your own?
 
antiparticle said:
If a(12a+5b+2c)>0 and the equation ax^2+bx+c=0 has roots y and z , then find out the range of the roots of the equation ...

antiparticle, as I told you in my warning just now as I moved this to the Homework Help forums, you MUST show your own work on this homework/coursework question. We do not do your work for you, and we do not help you cheat.

Show us your work.
 
From the sum and the product rule of the quadratic equation we can easily get
12-5(y+z)+2yz>0..
and from this one we can get some conditions..
 

Similar threads

Conceptual question on equations of the form ##x=ay^2+by+c##
Replies
5
Views
1K
Show that ##(x-a)(x-b)=b^2## has real roots- Quadratics
Replies
6
Views
2K
Find the value of ##r## and ##s## in the given quadratic equation
Replies
1
Views
2K
Quadratic equation with no rational roots
Replies
12
Views
3K
Value of "a" between two real roots of quadratic equation
Replies
2
Views
2K
To prove that a given quadratic has integral roots
Replies
20
Views
2K
Comparing Solutions of Quadratic Equations: Real vs Imaginary Roots
Replies
3
Views
1K
How do I find the minimum of 5a + b?
Replies
46
Views
4K
Quadratic Equations - Condition for real roots
Replies
14
Views
4K
Three () distinct real roots of a quadratic equation
Replies
27
Views
4K

Hot Threads

Recent Insights

Back
Top