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

Ans: Given equation is 4x² – 5 = 0

or we can say that, Find the discriminant of 4x² + 0x – 5 = 0

Let’s compare it with standard quadratic equation ax² +b x + c = 0, we get:

a = 4, b = 0, c = – 5

Discriminant (D): b² – 4 a c > 0

= (0) – 4 x 4 x (-5)  > 0

80 > 0

Since discriminant is positive or greater than zero, therefore the roots are real and distinct.