Disuss that nature of roots of
(i) ` -x^(2)+3x+1=0` (ii) `4x^(2)=0` (iii) `9x^(2)+5x=0`

Discuss the nature of roots of -x^(2) + 3x + 1 = 0

Discuss the nature of roots of 9x^(2) + 5x = 0 .

Find the roots of x^(2) + 3x +9=0

Examine for the rational roots of : (i) 2x^3-x^2-1=0 (ii) x^8-3x+1=0

Determine the nature of the roots of the equation 2x^(2) + x - 1 = 0

Find the value of discriminant for each of the following quadratic equations: "(i) " x^(2)+4x+4=0 " (ii) " x^(2)+4x+1=0 "(iii) " 3x^(2)+2x+1=0

Find the integrals of the following : (i) 1/(4-x^2) (ii) 1/(25-4x^2) (iii) 1/ (9x^2-4)