If alpha, beta are the roots of a x^2 +...

If `alpha, beta` are the roots of ` a x^2 + bx + c = 0` and `k in R` then the condition so that `alpha < k < beta` is :

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a>0
c=x
f(x)<0
af(x)<0
`a^2k^2+abk+ac<0`
a<0
c=x
f(k)>0
...

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