Class 10
Solutions of Sample Papers for Class 10 Boards

Question 1 (Choice 1) - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [Term 2] - Solutions of Sample Papers for Class 10 Boards

Last updated at April 16, 2024 by

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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Transcript

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 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.