Without determining the roots of the following equations comment their nature:
(i) `6sqrt3x^(2)-4x+sqrt3=0` (ii) `9a^(2)b^(2)x^(2)-48abcdx+64c^(2)d^(2)=0`
(iii) `a^(2)x^(2)+2abx=b^(2),a^(2)ne0` (iv) `2(a^(2)+b^(2))x^(2)+2(a+b)x+1=0`
(v) `(b+c)x^(2)-(a+b+c)x+a=0`

Determine the nature of the roots of the following quadratic equations: 9a^(2)b^(2)x^(2)-24abcdx+16c^(2)d^(2)=0,a!=0,b!=0 (ii) 2(a^(2)+b^(2))x^(2)+2(a+b)x+1=0 (iii) (b+c)x^(2)-(a+b+c)x+a=0

Determine the nature of the roots of the following quadratic equations: (i) 3x^2-4sqrt(3)x+4=0 (ii) 3x^2-2sqrt(6)x+2=0 (iii) (x-2a)(x-2b)=4a b

Determine the nature of the roots of the following quadratic equations: 3x^(2)-4sqrt(3)x+4=0 (ii) 3x^(2)-2sqrt(6)x+2=0 (iii) (x-2a)(x-2b)=4ab

Without solving , comment upon the nature of roots of each of the following equations : (i) 7x^(2)-9x+2=0 (ii) 6x^(2)-13x+4=0 (iii) 25x^(2)-10x+1=0 (iv) x^(2)+2sqrt(3)x-9=0 (v) x^(2)-ax-b^(2)=0 (vi) 2x^(2)+8x+9=0

Determine the nature of the roots of the following quadratic equations: (i) 9a^2b^2x^2-24 a b c dx+16 c^2d^2=0,\ \ a!=0,\ b!=0 (ii) 2(a^2+b^2)x^2+2(a+b)x+1=0 (iii) (b+c)x^2-(a+b+c)x+a=0

Determine the nature of the roots for the following quadratic equations 9a^(2)b^(2)x^(2)-24abcdx+16c^(2)d^(2)=0, ane0 , bne0

Which of the following equations has the sum of its roots as 3?( a) x^(2)+3x-5=0 (b) -x^(2)+3x+3=0(c)sqrt(2)x^(2)-(3)/(sqrt(2))x-1=0(d)3x^(2)-3x-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