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Ex 4.4, 2 - Find values of k if equation has two equal roots - Nature of roots

Ex 4.4, 2 - Chapter 4 Class 10 Quadratic Equations - Part 2

 

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Ex 4.4 ,2 Find the values of k for each of the following quadratic equations, so that they have two equal roots. (i) 2x2 + kx + 3 = 0 2x2 + kx + 3 = 0 Comparing equation with ax2 + bx + c = 0 a = 2, b = k, c = 3 Since the equation has 2 equal roots, D = 0 b2 – 4ac = 0 Putting values k2 – 4×2×3=0 k2 – 24 = 0 k2 = 24 k = ±√24 k = ± √(6 ×4) k = ± √6 × √4 k = ± √6 × √(2^2 ) k = ± √6 × 2 k = ± 2√6

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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.