Ex 5.3, 4 - Solve -x2 + x - 2 = 0 - Class 11 Complex - Quadaratic equation

  1. Chapter 5 Class 11 Complex Numbers
  2. Serial order wise
Ask Download

Transcript

Ex5.3, 4 Solve the equation โ€“๐‘ฅ2 + ๐‘ฅ โ€“ 2 = 0 โ€“๐‘ฅ2 + ๐‘ฅ โ€“ 2 = 0 The above equation is of the form ๐‘Ž๐‘ฅ2 + ๐‘๐‘ฅ + ๐‘ = 0 Where a = โ€“1, b = 1, and c = โ€“2 ๐‘ฅ = (โˆ’๐‘ ยฑ โˆš( ๐‘^2 โˆ’ 4๐‘Ž๐‘ ))/2๐‘Ž ๐‘ฅ = (โˆ’1 ยฑ โˆš((1)^2 โˆ’ 4 ร— (โˆ’1) (โˆ’2)))/(2 ร— "(โˆ’" 1)) = (โˆ’1ยฑ โˆš(1 โˆ’ 4 ร— (+2)))/("โˆ’" 2) = (1 ยฑ โˆš(1 โˆ’ 8))/(โˆ’2) = (โˆ’ 1 ยฑ โˆš(โˆ’ 7))/(โˆ’2) = (โˆ’ 1 ยฑ โˆš( 7 ร—โˆ’1))/(โˆ’2) = (โˆ’1 ยฑ โˆš7 ๐‘–)/(โˆ’ 2) = (โˆ’(โˆ’1 ยฑ โˆš7 ๐‘–))/( 2) = (1 โˆ“ โˆš7 ๐‘–)/2 Thus, ๐‘ฅ = (1 โˆ“ โˆš7 ๐‘–)/2

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.