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Q.

The number of real roots of the equation $x^{3} - 3 x + 1 = 0$ is

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a

0

b

1

c

2

d

3

answer is D.

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Detailed Solution

Let $f (x) = x^{3} - 3 x + 1$

Then $f^{1} (x) = 3 (x^{2} - 1)$

Let $f^{1} (x) = 0 \Rightarrow x = \pm 1 a n d f (1) f (- 1) < 0$

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