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Example 4 - Chapter 4 Class 10 Quadratic Equations

Last updated at May 29, 2023 by

Example 4 - Find roots of 6x2 - x - 2 = 0 - Chapter 4 - Solving by Splitting the middle term - Equation given

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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 We need to find two numbers whose Sum = -1 Product = -2 x 6 = -12 Checking -2 & 6, Sum = 4, Product = -12 Checking -4 & 3, Sum = -1, Product = -12 So, we take -4 and 3 6x2 – 4x + 3x – 2 = 0 2x (3x – 2) + 1 (3x – 2) = 0 (2x + 1) (3x – 2) = 0 2x + 1 =0 2x = -1 x = -1/2 3x - 2 = 0 3x = 2 x = 2/4 Hence x = (−1)/2 and x = 2/3 are the roots of the equation

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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.