First slide
Theory of expressions

If roots of ax2+bx+c=0 are α and β,and 4a + 2b + c > 0, 4a - 2b + c > 0, and c < 0, then possible value/values of [α]+[β] is/are (where [.] represents greatest integer function)


From the given conditions we have following possible graph of y = f(x)

From the graph,

    [α]=0 or 1,[β]=2 or 1     [α]+[β] can be 1,0,2

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