Home
Class 10
MATHS
If x + 1/x = sqrt3 then the value of x^6...

If x + 1/x = `sqrt3` then the value of `x^6` is

A

-1

B

0

C

1

D

none of these.

Text Solution

Verified by Experts

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • Quadratic equation in one variable

    UNITED BOOK HOUSE|Exercise Exercise |30 Videos
  • QUESTION PAPER 2019

    UNITED BOOK HOUSE|Exercise Exercise |53 Videos

Similar Questions

Explore conceptually related problems

If x= 7+4sqrt3 then the value of x-1/x is

x + y = (4)/(sqrt3) and x - y = (2)/(sqrt3) , then the value of 4xy is

Knowledge Check

  • If x+1/x =sqrt3, then one value of x is-

    A
    `cos ""pi/3+ I sin ""pi/3`
    B
    `cos ""pi/6 +I sin ""pi/6`
    C
    `sin ""pi/6 + I cos ""pi/6`
    D
    `cos ""pi/2+ isin ""pi/2`
  • If x = 2 + sqrt3 , then the value of x + (1)/(x) is

    A
    2
    B
    `2sqrt3`
    C
    4
    D
    `2-sqrt3`
  • If x+ 1/x=2 ,then the value of x^6 +1/x^6 is

    A
    8
    B
    6
    C
    4
    D
    2
  • Similar Questions

    Explore conceptually related problems

    If x = 3 + 2 sqrt2 , then find the value of x + (1)/(x)

    If x = 1/(2-sqrt3) then find the value of (x^(3) -2x^2 - 7x +4)

    If x = 1/(2-sqrt3) then find the value of (x^(3) -2x^(2) -7x+2)

    If x = 2+sqrt3 , the value of x+1/x is sqrt2 .

    If 0lt x lt (pi)/(2) and 1+ sin x+ sin ^(2) +sin ^(3) x+…oo= 4+2 sqrt3, then the value of x is-