Question 2 - Quadaratic equation - Chapter 4 Class 11 Complex Numbers

Last updated at Dec. 16, 2024 by

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Ex 5.3, 2 - Chapter 5 Class 11 Complex Numbers - Part 2

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Question 2 Solve the equation 2𝑥2 + 𝑥 + 1 = 0 2x2 + x + 1 = 0 The above equation is of the form 𝑎𝑥2 + 𝑏𝑥 + 𝑐 = 0 Where a = 2 , b = 1 , c = 1 𝑥 = (−𝑏 ± √( 𝑏^2 − 4𝑎𝑐 ))/2𝑎 = (−1 ± √((1)^2 − 4 × 2 × 1))/(2 × 2) = (−1± √(1 − 8))/4 = (−1± √( − 7))/4 = (−1 ± √(−1 × 7))/4 = (−1 ± √(−1 × 7))/4 = (−1 ± √(−1 )× √7)/4 = (−1 ± √7 𝑖)/4 Thus, 𝑥 = (−1 ± √7 𝑖)/2

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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