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Let S denote the set of real numbers x s...

Let S denote the set of real numbers x such that `(x+sqrt(x^(2)-1))^(3)+(x-sqrt(x^(2)-1))^(3)=2cos(3cos^(-1)x)` Then S contains

A

one element

B

two elements

C

infinte elements

D

no element

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • If denote the set of all real x for which (x^(2)+x+1)^(x) lt 1 , then S =

    A
    `(1,oo)`
    B
    `(-1,oo)`
    C
    `(-oo,-1)`
    D
    None of these

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