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

Ans: Given equation is 4 x² – 5 = 0

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

Let’s compare it with standard quadratic equation a x ² + b x + c = 0, we get:

a = 4, b = 0, c = – 5

Discriminant (D): b² – 4 a c > 0

= (0) – 4 (4) (- 5) > 0

= 0 + 80 > 0

80 > 0

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

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