Example 4 - Chapter 4 Class 10 Quadratic Equations

Last updated at April 16, 2024 by

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Example 4 Find the roots of the quadratic equation 6x2 – x – 2 = 0. 6x2 – x – 2 = 0 We factorize by splitting the middle term method 6x2 – 4x + 3x – 2 = 0 2x (3x – 2) + 1 (3x – 2) = 0 (2x + 1) (3x – 2) = 0 Hence, x = (−𝟏)/𝟐 and x = 𝟐/𝟑 are the roots of the equation 2x + 1 = 0 2x = –1 x = (−𝟏)/𝟐 3x – 2 = 0 3x = 2 x = 𝟐/𝟑 Splitting the middle term method We need to find two numbers whose Sum = – 1 Product = – 2 × 6 = – 12

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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, Social Science, Physics, Chemistry, Computer Science at Teachoo.