[" 7."5x^(2)-4sqrt(3)x+4=0],[" 8."4x^(2)+12x+9=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

Solve: 4x^(2)-12x+9=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 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)+4sqrt(3)x+3=0( iv )2x^(2)+x+4=0

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

Solve the following equations by factorization method : (i) x^(2)+4=0 (ii) x^(2)+5=0 (iii) 4x^(2) +9=0 (iv) x^(2)-4x+29=0 (v) 4 x^(2) -12x+45 =0

Solve the following equations by factorization method : (i) x^(2)+4=0 (ii) x^(2)+5=0 (iii) 4x^(2) +9=0 (iv) x^(2)-4x+29=0 (v) 4 x^(2) -12x+45 =0

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

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