Question

Without solving, comment upon the nature of roots of the following equation:

7x² – 9x + 2 = 0

Answer 1

7x² – 9x + 2 = 0

a = 7, b = −9 and c = 2

∴ Discriminant = b² – 4ac

= (−9)² – 4(7)(2)

= 81 – 56

= 25

Since D > 0, then equation has two real and unequal roots.