Quadratic Equation: Find Roots Range

[antiparticle]

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]

For brainy students!

 

[qntty]

Is this a homework question of yours?

 

[m00npirate]

Insulting our intelligence isn't very nice if you're asking for help!

 

[arildno]

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?

 

[berkeman]

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.

 

[antiparticle]

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..