Is it true that for a quadratic equation ax^2+bx+c, the roots of the equation will always equal -b/a?

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Is it true that for a quadratic equation ax^2+bx+c, the roots of the equation will always equal -b/a?

Mathematics
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nope
-b/a aint even an option...unless you get real lucky lol
it will always be x=frac{-b pm sqrt{b^2-4ac}{2a} a does not equal zero

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Other answers:

that didn't work
There is a sort of cheat way to factor it though. I'm told it's not technically mathematically sound, but I like it and it works. Multiply a and b
lol....its the french version
that only works for integer roots
Then no wonder it's not mathematically sound. Ahaha
well, for roots that dont incvolve radicals
And no, not really. You just gotta tweak it.
so it will equal -b/a, assuming I'm only working with integers?
\[x=\frac\]
no.....-b/a aint even on the board
but i keep trying to find a counterexample and cant
-b/2a is a possibility; but that aint always a root unless the graph just touches once
if its a complete square than -b/2a ia the only root
-b/2a is to find the vertex...
i just want to find a counterexample to -b/a being the sum of the roots
-b/2a is the axis of symmetry; but its also half way between roots :)
my bad, i forgot to mention sum
if its a complete square than -b/2a ia the only root
that was weird lol
so you want to find a counterexample: how about x^2-5x+6=0 -b/a=5 but there are two solutions and neither of them are 5 the solutions are x=3 and x=2
3+2=5, forgot to mention that the sum of the roots = -b/a
oh ok
the quad formula says; stand in the middle at -b/2a....now look left and right an equal distance of sqrt(...)/2a
i have a proof
?
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lol, did you just do that?
yes does it make sense?
yea, do you know how it can be useful though?
you can use it to sort of check yourself instead of plugging your answers back into the equation to check you can just see they add up to be -b/a thanks for pointing this out i never realized it before
lol, your welcome XD
the square roots cancel because one was postive and one was negative just like 5+(-5)=0 so you completely understand? thats amazing well unless you are passed algebra by now
I am. My sis just brought this to my attention and I never realized it before. XD
its really cool :)
by way it works for all numbers

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