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

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

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  1. Chapter 4 Class 10 Quadratic Equations (Term 2)
  2. Concept wise

Transcript

Example 14 Find the roots of the following equations: (i) x + 1/๐‘ฅ=3,๐‘ฅโ‰ 0 x + 1/๐‘ฅ=3 (๐‘ฅ (๐‘ฅ) + 1)/๐‘ฅ=3 (๐‘ฅ2 + 1)/๐‘ฅ=3 x2 + 1 = 3x x2 โ€“ 3x + 1 = 0 We will factorize by quadratic formula Comparing equation with ax2 + bx + c = 0 Here, a = 1, b = โ€“3, c = 1 We know that D = b2 โ€“ 4ac D = (โ€“3)2 โ€“ 4 (1) (1) D = 9 โ€“ 4 D = 5 So, the roots of the equation is given by x = (โˆ’ ๐‘ ยฑ โˆš๐ท)/2๐‘Ž Putting values x = (โˆ’ (โˆ’3) ยฑ โˆš5)/(2 ร— 1) x = (3 ยฑ โˆš5)/2 Hence, the roots of the equation are (3 + โˆš5)/2 & (3 โˆ’ โˆš5)/2 ,

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.