[" 5."4x^(2)+4sqrt(3)x+3=0],[" 6."4-x-5x^(2)=0]

Find the nature of the roots of the following quadratic equations: (i) 2x^(2)-8x+5=0" "(ii)" "3x^(2)-2sqrt(6)x+2=0 (iii) 5x^(2)-4x+1=0" "(iv)" "5x(x-2)+6=0 (v) 12x^(2)-4sqrt(15)x+5=0" "(vi)" "x^(2)-x+2=0

Find the nature of the roots of the following quadratic equations. If the real roots exits, find them : (1) 2x^(2)-3x+5=0 (2) 3x^(2)-4sqrt(3)x+4=0 (3) 2x^(2)-6x+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 i) 6sqrt5 x^(2) – 9x -3sqrt5 = 0 ii) x^(2) - x - 12 = 0 iii) 2x^(2) - 6x + 7 = 0 iv) 4x^(2) - 4x+17 = 3x^(2) -10x-17 v) x^(2) + 6x + 34 = 0 vi) 3x^(2) + 2x - 5 = 0

The equation of the line that touches the curves y=x|x| and x^2+(y^2-2)^2=4 , where x!=0, is y=4sqrt(5)x+20 (b) y=4sqrt(3)x-12 y=0 (d) y=-4sqrt(5)x-20

Solve: 4sqrt(3)x^(2)+5x-2sqrt(3)=0.

Solve: 4sqrt(3)x^(2)+5x-2sqrt(3)=0.

Solve: 4sqrt(3)x^(2)+5x-2sqrt(3)=0.