Question

Find the nature of the roots of the following quadratic equation:

5x(x – 2) + 6 = 0

Answer 1

The given equation is

5x(x – 2) + 6 = 0

⇒ 5x² – 10x + 6 = 0

This is of the form ax² + bx + c = 0, where a = 5, b = –10 and c = 6 

∴ Discriminant, D = b² – 4ac

= (–10)² – 4 × 5 × 6

= 100 – 120

= –20 < 0 

Hence, the given equation has no real roots.