Question

Find the discriminant of the quadratic equation 4x² – 5 = 0 and hence comment on the nature of roots of the equation.

Answer 1

4x² – 5 = 0

Here a = 4, b = 0, c = –5

Discriminant (D) = b² – 4ac

= 0 – 4 × 4(–5)

= 80 > 0

Since, D > 0, therefore roots are real and distinct.