Question

The nature of roots of the quadratic equation 9x² – 6x – 2 = 0 is ______.

पर्याय

• No real roots

• 2 equal real roots

• 2 distinct real roots

• More than 2 real roots

Answer 1

The nature of roots of the quadratic equation 9x² – 6x – 2 = 0 is 2 distinct real roots.

Explanation:

The given quadratic equation:

9x² – 6x – 2 = 0

Here, a = 9, b = –6 and c = –2

∴ Discriminant, D = b² – 4ac

= (–6)² – 4(9)(–2)

= 36 – 36(–2)

= 36 – (–72)

= 36 + 72

= 108 

∵ D = 108 > 0, the roots are real and unequal.