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Number of solutions of the equation (sqr...

Number of solutions of the equation `(sqrt(3)+1)^(2x)+(sqrt(3)-1)^(2x)=2^(3x)` is________

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Solve (sqrt3+1)^(2_x)+(sqrt3-1)^(2_x)=2^(3x) .

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Knowledge Check

  • Number of solutions of the equation sin((pi x)/(2sqrt(3)))=x^(2)-2sqrt(3)x+4 is

    A
    0
    B
    1
    C
    2
    D
    4

  • Number of solution of the equation sqrt(x^(2)-x + 1) + (1)/(sqrt(x^(2)-x+1)) = 2-x^(2) is

    A
    0
    B
    1
    C
    2
    D
    4

  • The solution of the equation (1 + i sqrt(3))^(x) = 2^(x) are in

    A
    A.P.
    B
    G.P.
    C
    H.P.
    D
    none

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    The number of solutions of the equation sin((pi x)/(2sqrt(3)))=x^(2)-2sqrt(3)x+4

    The number of solutions of the equation sqrt(x^(2))-sqrt((x-1)^(2))+sqrt((x-2)^(2))=sqrt(5) is

    The number of real solutions of the equation (5+2sqrt(6))^(x^(2-3))+(5-2sqrt(6))^(x-3)=10 is-

    The number of solutions of the equation |x^(2)-4|+(x-2)^(2)+sqrt(x^(2)-3x+2)=0

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