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Ex 5.3, 5 - Solve x2 + 3x + 5 = 0 - Chapter 5 Class 11 - Ex 5.3

  1. Chapter 5 Class 11 Complex Numbers
  2. Serial order wise
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Ex5.3, 5 Solve the equation ๐‘ฅ2 + 3๐‘ฅ + 5 = 0 ๐‘ฅ2 + 3๐‘ฅ + 5 = 0 The above equation is of the form ๐‘Ž๐‘ฅ2 + ๐‘๐‘ฅ + ๐‘ = 0 Where a = 1 , b = 3 , c = 5 ๐‘ฅ = (โˆ’๐‘ ยฑ โˆš( ๐‘^2 โˆ’ 4๐‘Ž๐‘ ))/2๐‘Ž = (โˆ’3 ยฑ โˆš((3)^2 โˆ’ 4 ร— 1 ร— 5))/(2 ร— 1) = (โˆ’3 ยฑ โˆš(9 โˆ’ 20))/2 = (โˆ’3 ยฑ โˆš(โˆ’11))/2 = (โˆ’3 ยฑ โˆš(โˆ’1 ร— 11))/2 = (โˆ’3 ยฑ โˆš(โˆ’1 ) ร— โˆš11)/2 = (โˆ’3 ยฑ โˆš11 ๐‘–)/2 Thus, ๐‘ฅ = (โˆ’3 ยฑ โˆš11 ๐‘–)/2

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