Find the value(s) of k, if the quadratic equation 3x 2 − k√3 x + 4 = 0 has equal roots.
This is a question of CBSE Sample Paper - Class 10 - 2017/18.
You can download the question paper here https://www.teachoo.com/cbse/sample-papers/

CBSE Class 10 Sample Paper for 2018 Boards
CBSE Class 10 Sample Paper for 2018 Boards
Last updated at Dec. 16, 2024 by Teachoo
This is a question of CBSE Sample Paper - Class 10 - 2017/18.
You can download the question paper here https://www.teachoo.com/cbse/sample-papers/
Transcript
Question 2 Find the value(s) of k, if the quadratic equation 3x2 k 3 x + 4 = 0 has equal roots. 3x2 k 3 x + 4 = 0 Comparing equation with ax2 + bx + c = 0 a = 3, b = k 3 , c = 4 Since the equation has 2 equal roots, D = 0 b2 4ac = 0 Putting values (" k" 3)^2 4 3 4=0 3k2 48 = 0 3k2 = 48 k2 = 48/3 k2 = 16 k = 16 k = (4 4) k = 4 k = 4