Question

What is the nature of roots of the quadratic equation 4x² – 12x – 9 = 0?

Answer 1

Consider the equation 4x² – 12x – 9 = 0,

To check the roots of the equation we will check the value of d = b² – 4ac

Here a = 4, b = 12 and c = – 9

So d = (12)² – 4 x 4 x – 9

= 144 + 144

= 288>0 which is real

So the roots of the given equation are Real and distinct.