Ex 5.3, 2 - Solve 2x2 + x + 1 = 0 - Chapter 5 Class 11 - Ex 5.3

  1. Chapter 5 Class 11 Complex Numbers
  2. Serial order wise
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Ex 5.3, 2 Solve the equation 2๐‘ฅ2 + ๐‘ฅ + 1 = 0 2x2 + x + 1 = 0 The above equation is of the form ๐‘Ž๐‘ฅ2 + ๐‘๐‘ฅ + ๐‘ = 0 Where a = 2 , b = 1 , c = 1 ๐‘ฅ = (โˆ’๐‘ ยฑ โˆš( ๐‘^2 โˆ’ 4๐‘Ž๐‘ ))/2๐‘Ž = (โˆ’1 ยฑ โˆš((1)^2 โˆ’ 4 ร— 2 ร— 1))/(2 ร— 2) = (โˆ’1ยฑ โˆš(1 โˆ’ 8))/4 = (โˆ’1ยฑ โˆš( โˆ’ 7))/4 = (โˆ’1 ยฑ โˆš(โˆ’1 ร— 7))/4 = (โˆ’1 ยฑ โˆš(โˆ’1 )ร— โˆš7)/4 = (โˆ’1 ยฑ โˆš7 ๐‘–)/4 Thus, ๐‘ฅ = (1 ยฑ โˆš7 ๐‘–)/2

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