The number of distinct real roots of x^4 - 4x^3 + 12x^2 + x - 1 = 0 is

JEE Advanced 2011 Mathematics question

The number of distinct real roots of is

Answer: 2

Let . Then for all x, so f is strictly convex and can cross the x-axis at most twice. Also $f(0)

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Question ID VK-025997