Question

Find the nature of the roots of the quadratic equation:

4x² – 5x – 1 = 0

Answer 1

Given quadratic equation is: 4x² – 5x – 1 = 0

Comparing the above equation with ax² + bx + c = 0,

We get a = 4, b = –5 and c = –1

Now, b² – 4ac = (–5)² – 4(4)(–1)

= 25 + 16

= 41 > 0

Hence, roots of the quadratic equation are real and distinct.