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

 

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

Transcript

Ex 4.3 ,3 Find the roots of the following equations: (i) x โ€“ 1/๐‘ฅ=3,๐‘ฅโ‰ 0 x โ€“ 1/๐‘ฅ=3 (๐‘ฅ(๐‘ฅ) โˆ’ 1 )/๐‘ฅ = 3 (๐‘ฅ^2 โˆ’ 1 )/๐‘ฅ = 3 x2 โ€“ 1 = 3x x2 โ€“ 3x โ€“ 1 = 0 Comparing equation with ax2 + bx + c = 0 So, a = 1, b = โ€“3, c = โ€“1 We know that D = b2 โ€“ 4ac D = ( โ€“3)2 โ€“ 4ร—1ร—โˆ’1 D = 9 + 4 D = 13 Hence, roots to equation are given by x = (โˆ’ ๐‘ ยฑ โˆš๐ท)/2๐‘Ž Putting values x = (โˆ’ (โˆ’ 3) ยฑ โˆš13)/(2 ร— 1) x = (3 ยฑ โˆš13)/2 Hence, roots to equation are x = (3 + โˆš13)/2 or x = (3 โˆ’ โˆš13)/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.