[(11),4x^(2)+4sqrt(3)x+3=0],[x^(2)+(4)/(4),sqrt(3)x+(3)/(4)=0]

3x^(2)-4sqrt(3)x+4=0

(4) sqrt(3)x^(2)+2x-sqrt(3)=0

x^(2)-(sqrt(3)+1)x+sqrt(3)=0 2x^(2)+x-4=0

The integral int_(0)^(pi)sqrt(1+4"sin"^(2)x/2-4"sin"x/2)dx is equals to (a) pi-4 (b) (2pi)/3-4-sqrt(3) (c) (2pi)/3-4-sqrt(3) (d) 4sqrt(3)-4-(pi)/3

The integral int_(0)^(pi)sqrt(1+4"sin"^(2)x/2-4"sin"x/2)dx is equals to (a) pi-4 (b) (2pi)/3-4-sqrt(3) (c) (2pi)/3-4-sqrt(3) (d) 4sqrt(3)-4-(pi)/3

If (7+4sqrt(3))^(x^(2-8))+(7-4sqrt(3))^(x^(2-8))=14, then x=

lim_(x to oo ) (sqrt(3x^(2)-1)-sqrt(2x^(2)-3))/(4x+3)

lim_(x to oo ) (sqrt(3x^(2)-1)-sqrt(2x^(2)-3))/(4x+3)

An equilateral triangle whose two vertices are (-2, 0) and (2, 0) and which lies in the first and second quadrants only is circumscribed by a circle whose equation is : (A) sqrt(3)x^2 + sqrt(3)y^2 - 4x +4 sqrt(3)y = 0 (B) sqrt(3)x^2 + sqrt(3)y^2 - 4x - 4 sqrt(3)y = 0 (C) sqrt(3)x^2 + sqrt(3)y^2 - 4y + 4 sqrt(3)y = 0 (D) sqrt(3)x^2 + sqrt(3)y^2 - 4y - 4 sqrt(3) = 0

The integral int_(0)^( pi)sqrt(1+4sin^(2)((x)/(2))-4sin((x)/(2))dx) equal (1)pi-4(2)(2 pi)/(3)-4-4sqrt(3)(3)4sqrt(3)-4(4)4sqrt(3)-4-(pi)/(3)