1. Chapter 4 Class 10 Quadratic Equations
  2. Serial order wise
  3. Completing the square and Word Problems
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Question 3 (i) - Ex 4.3 - Chapter 4 Class 10 Quadratic Equations

Last updated at Dec. 13, 2024 by Teachoo

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

    3. Completing the square and Word Problems

    Checking quadratic equation →
Checking quadratic equation →
Chapter 4 Class 10 Quadratic Equations
Serial order wise

About the Author

Davneet Singh

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