Question 1 – Choice 2 Find the values of k for which the quadratic equation 3𝑥2 + 𝑘𝑥 + 3 = 0 has real and equal roots.
Given
3𝑥2 + 𝑘𝑥 + 3 = 0
Comparing equation with ax2 + bx + c = 0
Here, a = 3, b = 𝑘, c = 3
Since the equation has 2 equal roots,
D = 0
b2 – 4ac = 0
Putting values
𝑘^2−4 × 3 × 3=0
𝑘^2−36=0
𝑘^2=36
𝑘 = ±√36
𝒌 = ±𝟔
Hence, 𝒌 = 𝟔 or 𝒌 = −𝟔

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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