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Ex 5.3, 3 - Solve x2 + 3x + 9 = 0 - Chapter 5 Complex - Two complex numbers equal

  1. Chapter 5 Class 11 Complex Numbers
  2. Serial order wise
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Ex 5.3, 3 Solve the equation ๐‘ฅ2 + 3๐‘ฅ + 9 = 0 ๐‘ฅ2 + 3๐‘ฅ + 9 = 0 The above equation is of the form ๐‘Ž๐‘ฅ2 + ๐‘๐‘ฅ + ๐‘ = 0 Where a = 1, b = 3, and c = 9 ๐‘ฅ = (โˆ’๐‘ ยฑ โˆš( ๐‘^2 โˆ’ 4๐‘Ž๐‘ ))/2๐‘Ž ๐‘ฅ = (โˆ’3 ยฑ โˆš(3^2 โˆ’ 4 ร—1 ร— 9))/(2 ร—1) = (โˆ’3 ยฑ โˆš(9 โˆ’36))/2 = (โˆ’ 3 ยฑ โˆš(โˆ’ 27))/2 = (โˆ’ 3 ยฑ โˆš(โˆ’ 1 ร— 27))/2 = (โˆ’ 3 ยฑ( โˆš( 27) ร—โˆš(โˆ’ 1) ))/2 = (โˆ’ 3 ยฑ โˆš27 ๐‘–)/( 2) = (โˆ’ 3 ยฑ โˆš(3 ร— 3 ร— 3) ๐‘–)/( 2) = (โˆ’ 3 ยฑ 3 โˆš3 ๐‘–)/2 Thus, ๐‘ฅ = (โˆ’ 3 ยฑ 3 โˆš3 ๐‘–)/2

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