Question

Write the discriminant of the following quadratic equations:
(i) $2x^2-5x+3=0$ (ii) $x^2+2x+4=0$
(iii) $(x-1)(2x-1)=0$ (iv) $x^2-2x+k=0,kϵR$
(v) $\sqrt{3}{x}^2+2\sqrt{2}x-2\sqrt{3}=0$ (vi) $x^2-x+1=0$

Answer 1

The discriminant of a quadratic equation is given by

Where,
D= discriminant of the quadratic equation,
a = coefficient of $x^2$ in the quadratic equation,
b = coefficient of x in the quadratic equation,
c = any integer present in the equation,

Now,
(i) D =

(ii) D =

(iii)


(iv)


(v)


(vi)