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

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.