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Example 14 - Find roots (i) x + 1/x = 3 (ii) 1/x - Examples

Example 14 - Chapter 4 Class 10 Quadratic Equations - Part 2

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Example 14 Find the roots of the following equations: (i) x + 1/𝑥=3,𝑥≠0 x + 1/𝑥=3 (𝑥 (𝑥) + 1)/𝑥=3 (𝑥2 + 1)/𝑥=3 x2 + 1 = 3x x2 – 3x + 1 = 0 We will factorize by quadratic formula Comparing equation with ax2 + bx + c = 0 Here, a = 1, b = –3, c = 1 We know that D = b2 – 4ac D = (–3)2 – 4 (1) (1) D = 9 – 4 D = 5 So, the roots of the equation is given by x = (− 𝑏 ± √𝐷)/2𝑎 Putting values x = (− (−3) ± √5)/(2 × 1) x = (3 ± √5)/2 Hence, the roots of the equation are (3 + √5)/2 & (3 − √5)/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 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.