Example 5 - Chapter 4 Class 10 Quadratic Equations

Last updated at Dec. 13, 2024 by

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Example 5 Find the roots of the quadratic equation 3x2 − 2 √6 𝑥 + 2 = 0 . 3x2 – 2 √6 𝑥+2=0 We will factorize using splitting the middle term method 3x2 – √𝟔 𝒙−√𝟔 𝒙+𝟐=𝟎 3x2 – √(2×3) 𝑥−√(2×3) 𝑥+2=0 3x2 – (√2)(√3)𝑥−(√2)(√3)𝑥+2=0 √3 𝑥(√3 𝑥−√2 )−√2 (√3 𝑥−√2 )=0 (√𝟑 𝒙 −√𝟐) (√𝟑 𝒙−√𝟐)=𝟎 √3 𝑥 −√2 = 0 √3 𝑥 = √2 x = √𝟐/√𝟑 = √(𝟐/𝟑) √3 𝑥 −√2 = 0 √3 𝑥 = √2 x = √𝟐/√𝟑 = √(𝟐/𝟑) Hence, x =√(𝟐/𝟑) & x =√(𝟐/𝟑) are 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 14 years. He provides courses for Maths, Science and Computer Science at Teachoo