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The number of distinct real roots of the equation x7 – 7x – 2 = 0 is

Option 1 -

5

Option 2 -

7

Option 3 -

1

Option 4 -

3

0 3 Views | Posted 2 months ago
Asked by Shiksha User

  • 1 Answer

  • P

    Answered by

    Payal Gupta | Contributor-Level 10

    2 months ago
    Correct Option - 4


    Detailed Solution:

    f (x)=x7−7x−2

    f' (x)=7x6−7⇒f' (x)=0, x=±1

    ∴f (1)=<0   and  f (−1)>0

    Hence number of real roots of f (x) = 0 are 3.

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