Example 4 - Chapter 4 Class 10 Quadratic Equations

Last updated at Dec. 13, 2024 by

Example 4 - Find roots of 6x2 - x - 2 = 0 - Chapter 4 Class 10 - Examples

Remove Ads

Transcript

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

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

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