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

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


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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo