Let a,b,c∈R and α,β are the real roots of the equation ax2+bx+c=0 and if a+b+c 0 then [α]+[β] is equal to (where [ . ] denotes the greatest integer function)

f(1) 0 α∈(−1,0) β∈(−1,0) [α]+[β] −1+0=−1

Let a,b,c∈R and α,β are the real roots of the equation ax2+bx+c=0 and if a+b+c 0 then [α]+[β] is equal to (where [ . ] denotes the greatest integer function)

f(1) 0 α∈(−1,0) β∈(−1,0) [α]+[β] −1+0=−1

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Let $a, b, c \in R$ and $α, β$ are the real roots of the equation $a x^{2} + b x + c = 0$ and if $a + b + c < 0,$ $a - b + c < 0$ and $c > 0$ then $[α] + [β]$ is equal to (where [ . ] denotes the greatest integer function)

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Detailed Solution

$f (1) < 0 f (- 1) < 0 f (0) > 0 α \in (- 1, 0) β \in (- 1, 0) [α] + [β] - 1 + 0 = - 1$

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