let a,b,c be the sides of a triangle(no two of them are equal) and 't' belongs to R. if the roots of this equation are real then prove that ...... 't' is less than 4/3

Question

let a,b,c be the sides of a triangle(no two of them are equal) and 't' belongs to R. if the roots of this equation are real then prove that ......  't' is less than 4/3

anonymous · Answer

Hey, want to try to tackle this in my classroom? It would be easier if we can draw this out

amistre64 · Answer

which equation?

anonymous · Answer

$$x ^{2} +2x(a+b+c) + 3t(ab+bc+ca)=0 $$

amistre64 · Answer

proof aint my strong point

anonymous · Answer

We can tackle this much easier in a classroom....amistre64 you're welcome to join as well..

amistre64 · Answer

unproving I can usually do without trying :)

anonymous · Answer

lol....unproving...

anonymous · Answer

where ur classroom is heromile.....???

anonymous · Answer

I have an online classroom

anonymous · Answer

link.......

anonymous · Answer

wait...

amistre64 · Answer

heros lost the key?

anonymous · Answer

I just figured out that I can't have more than one class at once....

anonymous · Answer

I have a current class...I will see if I can pull that up....otherwise we'll have to wait like 13 minutes...

amistre64 · Answer

since its a quadratic structure; see if the last term can factor to get the second term ?

anonymous · Answer

http://authorlive.com/aliveext/LoginToSession.aspx?SessionCode=GpfJpTGlnNLZHHZf77DvRA%3d%3d

anonymous · Answer

Okay, that should work

anonymous · Answer

its just discriminates

amistre64 · Answer

3tab+3tbc+3tca

2a+2b+2c

2a*2b*2c = 8abc

8abc = 3t(ab + bc + ca)

amistre64 · Answer

just guessing here but this looks to be getting close maybe?

      8abc
----------- = t
3(ab+bc+ca)

anonymous · Answer

I bet we have to find the values of a, b, and c

anonymous · Answer

somehow...

amistre64 · Answer

not n absract algebra :)

anonymous · Answer

Oh...well...that's out of my league...

anonymous · Answer

Where's the OP? Seems to have disappeared...

anonymous · Answer

hero, how do you write on that whiteboard

amistre64 · Answer

8(abc)                  4
----------- = t = ---
3(ab+bc+ca)           3