Question

Without solving, examine the nature of roots of the equation 2x² – 7x + 3 = 0

Answer 1

Comparing 2x² – 7x + 3 = 0 with ax² + bx + c = 0;

we get: a = 2, b = – 7 and c = 3

D = b² – 4ac = (–7)² – 4 × 2 × 3

= 49 – 24 = 25, which is perfect square.

∴ The roots of the given equation are rational and unequal