Answer :

Given that the quadratic equation 9x2 + 8kx + 16 = 0 roots are real and equal.

Comparing with standard quadratic equation ax2 + bx + c = 0


a = 9 b = 8k c = 16


Thus D = 0


Discriminant D = b2 – 4ac = 0


(8k)2 – 4.9.16 = 0


64k2 – 576 = 0


k2 = 9 taking square root both sides



Thus k = 3 or k = – 3 for which the roots are real and equal.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses