Question

3. Determine the nature of the roots of the
following quadratic equations from their
discriminant:
(2 marks each)
(i) 2x^2-3x - 4= 0​

Answer 1

Answer:

Real, distinct and rational.

Step-by-step explanation:

2 (x^2) - 3 (x) - 4 = 0

a = 2

b = -3

c = -4

Discriminant calculation:

d = b^2 - 4ac = 9 + 32 = 41

d >= 0, so roots are real (not imaginary).

d != 0, so roots are distinct.

d is not a perfect square, therefore roots are rational.