Find the values of k for which the quadratic equation 3x 2 =ย  kx + 3 = 0 has real and equal roots.

This question is similar to Ex 4.4, 2 (i) Chapter 4 Class 10 - Quadratic Equations

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  1. Class 10
  2. Solutions of Sample Papers for Class 10 Boards

Transcript

Question 1 โ€“ Choice 2 Find the values of k for which the quadratic equation 3๐‘ฅ2 + ๐‘˜๐‘ฅ + 3 = 0 has real and equal roots. Given 3๐‘ฅ2 + ๐‘˜๐‘ฅ + 3 = 0 Comparing equation with ax2 + bx + c = 0 Here, a = 3, b = ๐‘˜, c = 3 Since the equation has 2 equal roots, D = 0 b2 โ€“ 4ac = 0 Putting values ๐‘˜^2โˆ’4 ร— 3 ร— 3=0 ๐‘˜^2โˆ’36=0 ๐‘˜^2=36 ๐‘˜ = ยฑโˆš36 ๐’Œ = ยฑ๐Ÿ” Hence, ๐’Œ = ๐Ÿ” or ๐’Œ = โˆ’๐Ÿ”

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.