Find the roots of the quadratic equation 3x 2 - 7x - 6 = 0

This question is similar to Example 13 (i) Chapter 4 Class 10 - Quadratic Equations

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Question 1 – Choice 1 Find the roots of the quadratic equation 3𝑥2 − 7𝑥 − 6 = 0. Given 3x2 – 7x − 6 = 0 Comparing equation with ax2 + bx + c = 0 Here, a = 3, b = –7, c = −6 We know that, D = b2 – 4ac D = (–7)2 – 4 × 3 × (−6) D = 49 + 72 D = 121 So, the roots of the equation is given by x = (− 𝒃 ± √𝑫)/𝟐𝒂 Putting values x = (−(−7) ± √121)/(2 × 3) x = (𝟕 ± 𝟏𝟏)/𝟔 Solving Hence, the roots of the equation are 3 and (−2)/3 .

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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.