Question 3 (i) - Ex 4.3 - Chapter 4 Class 10 Quadratic Equations

Last updated at Dec. 13, 2024 by

Ex 4.3, 3 - Find roots of (i) x - 1/x = 3 (ii) 1/x+4 - 1/x-7 - Ex 4.3

Ex 4.3, 3 - Chapter 4 Class 10 Quadratic Equations - Part 2

 

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Ex 4.3 ,3 Find the roots of the following equations: (i) x – 1/𝑥=3,𝑥≠0 x – 1/𝑥=3 (𝑥(𝑥) − 1 )/𝑥 = 3 (𝑥^2 − 1 )/𝑥 = 3 x2 – 1 = 3x x2 – 3x – 1 = 0 Comparing equation with ax2 + bx + c = 0 So, a = 1, b = –3, c = –1 We know that D = b2 – 4ac D = ( –3)2 – 4×1×−1 D = 9 + 4 D = 13 Hence, roots to equation are given by x = (− 𝑏 ± √𝐷)/2𝑎 Putting values x = (− (− 3) ± √13)/(2 × 1) x = (3 ± √13)/2 Hence, roots to equation are x = (3 + √13)/2 or x = (3 − √13)/2

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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