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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

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.