Question

What is the nature of roots of the quadratic equation 4x - 12x - 9 = 0?​

Answer 1

Answer:

Roots are real and distinct.

Step-by-step explanation:

Equation ---> 4x² - 12x - 9 = 0\

Now, D = b² - 4ac

So,

If D > 0, roots are real and distinct.

If D = 0, roots are real and equal.

If D < 0, roots are imaginary and distinct.

Now, D = b² - 4ac

=> (-12)² - 4(4)(-9)

=> 144 + 144 => 288                (Minus and minus combine to become plus.)

As D > 0, roots are real and distinct.