Determine the nature of the roots of the following quadratic equations:
(i)`2x^2-3x+5=0`
(ii) `2x^2-6x+3=0`
(iii) `3/5x^2-2/3x+1=0`

Find the roots of the following quadratic equation: 2/5x^2-x-3/5=0

Discuss the nature of the roots of the following quadratic equations: 3x ^2 −2x+1/3=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

Solve the following quadratic equations. x^(2)-3x+2=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

Find the nature of roots of the quadratic equation 4x^(2)-5x+3=0 .

Determine the nature of the roots of the following quadratic equations: 2x^2+x-1=0 x^2-4x+4=0 x^2+x+1=0 4x^2-4x+1=0 2x^2+5x+5=0

Write the discriminant of the following quadratic equations: 2x^2-5x+3=0 (ii) x^2+2x+4=0

Write the discriminant of the following quadratic equations: x^2-4x+2=0 (ii) 3x^2+2x-1=0 (iii) x^2-4x+a=0