" (iii) "4x^(2)+4sqrt(3)x+3=0(" iv ")

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

Find the roots of the quadratic equations by applying the quadratic formula. (i) 2x^2 -7x+3 =0 (ii) 2x^2+x-4 =0 (iii) 4x^2+4sqrt3x+3=0 (iv) 2x^2+x+4 = 0

Determine the nature of the roots of the following quadratic equations from their discriminant : (i) 3y^(2) + 9y+4=0 (ii) 2x^(2) + 5 sqrt(3)x + 16=0 (iii) 4x^(2) + 12x + 9=0 (iv) m^(2) + sqrt(2) m +1=0 (v) x^(2) - (1)/(2) x + (1)/( 16) = 0 (vi) x^(2) - 4x -4=0

The equation of a line whose inclination is (5pi)/(6) and which cuts off an intercept of 4 units on negative direction of y-axis is (i) x+sqrt(3)y+4sqrt(3)=0 (ii) x-sqrt(3)y+4sqrt(3)=0 (iii) x+sqrt(3)y-4sqrt(3)=0 (iv) x-sqrt(3)y-4sqrt(3)=0

Determine the nature of roots of the following quadratic equations: (i) 2x^(2)+5x-4=0 (ii) 9x^(2)-6x+1=0 (iii) 3x^(2)+4x+2=0 (iv) x^(2)+2sqrt2x+1=0 (v) x^(2)+x+1=0 (vi) x^(2)+ax-4=0 (vii) 3x^(2)+7x+(1)/(2)=0 (viii) 3x^(2)-4sqrt3x+4=0 (ix) 2sqrt3x^(2)-5x+sqrt3=0 (x) (x-2a)(x-2b)=4ab

Determine the nature of roots of the following quadratic equations: (i) 2x^(2)+5x-4=0 (ii) 9x^(2)-6x+1=0 (iii) 3x^(2)+4x+2=0 (iv) x^(2)+2sqrt2x+1=0 (v) x^(2)+x+1=0 (vi) x^(2)+ax-4=0 (vii) 3x^(2)+7x+(1)/(2)=0 (viii) 3x^(2)-4sqrt3x+4=0 (ix) 2sqrt3x^(2)-5x+sqrt3=0 (x) (x-2a)(x-2b)=4ab

Find the roots of the following quadratic equations, if they exist. 4x^(2)+4sqrt(3)x+3=0

Find the roots of the following quadratic equations, if they exist. 4x^(2)+4sqrt(3)x+3=0

Find the roots of the following quadratic equations, if they exist. 4x^(2)+4sqrt(3)x+3=0