Check sibling questions

ย 


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 ,

  1. Chapter 4 Class 10 Quadratic Equations
  2. 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