Question

Find the values of k for which the given quadratic equation has real and distinct roots:

kx² + 6x + 1 = 0

Answer 1

Given:

kx² + 6x + 1 = 0

D = 6² − 4 × k × 1

= 36 − 4k 

The given equation has real and distinct roots if D > 0. 

∴ 36 − 4k > 0

⇒ 4k < 36

⇒ k < 9