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

In the following,determine whether the given quadratic equations have real roots and if so, find the roots: 2x^(2)-2sqrt(6)x+3=0 (ii) 3a^(2)x^(2)+8abx+4b^(2)=0,quad a!=0

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

The roots of the equation x^(2)-2sqrt3 x+3=0 are

If the represented by the equation 3y^2-x^2+2sqrt(3)x-3=0 are rotated about the point (sqrt(3),0) through an angle of 15^0 , on in clockwise direction and the other in anticlockwise direction, so that they become perpendicular, then the equation of the pair of lines in the new position is (1) y^2-x^2+2sqrt(3)x+3=0 (2) y^2-x^2+2sqrt(3)x-3=0 (3) y^2-x^2-2sqrt(3)x+3=0 (4) y^2-x^2+3=0

If the represented by the equation 3y^2-x^2+2sqrt(3)x-3=0 are rotated about the point (sqrt(3),0) through an angle of 15^0 , on in clockwise direction and the other in anticlockwise direction, so that they become perpendicular, then the equation of the pair of lines in the new position is (1) y^2-x^2+2sqrt(3)x+3=0 (2) y^2-x^2+2sqrt(3)x-3=0 (3) y^2-x^2-2sqrt(3)x+3=0 (4) y^2-x^2+3=0

If the represented by the equation 3y^2-x^2+2sqrt(3)x-3=0 are rotated about the point (sqrt(3),0) through an angle of 15^0 , on in clockwise direction and the other in anticlockwise direction, so that they become perpendicular, then the equation of the pair of lines in the new position is y^2-x^2+2sqrt(3)x+3=0 y^2-x^2+2sqrt(3)x-3=0 y^2-x^2-2sqrt(3)x+3=0 y^2-x^2+3=0

If the represented by the equation 3y^2-x^2+2sqrt(3)x-3=0 are rotated about the point (sqrt(3),0) through an angle of 15^0 , on in clockwise direction and the other in anticlockwise direction, so that they become perpendicular, then the equation of the pair of lines in the new position is (a) y^2-x^2+2sqrt(3)x+3=0 (b) y^2-x^2+2sqrt(3)x-3=0 (c) y^2-x^2-2sqrt(3)x+3=0 (d) y^2-x^2+3=0

Which of the following are quadratic equations? x^(2)+2sqrt(x)-3=0 (ii) 3x^(2)-4x+2=2x^(2)-2x+4

2sqrt(3)x^(2)+x-5sqrt(3)=0

Solve the quadratic equation by formula method x^2 + 2 sqrt(3)x + 3 =0