Ex 5.3, 6 - Solve x2 - x + 2 = 0 - Class 11 CBSE - Ex 5.3

  1. Chapter 5 Class 11 Complex Numbers
  2. Serial order wise
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Ex5.3, 6 Solve the equation ๐‘ฅ2 โ€“ ๐‘ฅ + 2 = 0 x2 โ€“ x + 2 = 0 The above equation is of the form ๐‘Ž๐‘ฅ2 + ๐‘๐‘ฅ + ๐‘ = 0 Where a = 1 , b = โ€“1 , c = 2 x = (โˆ’๐‘ ยฑ โˆš( ๐‘^2 โˆ’4๐‘Ž๐‘ ))/2๐‘Ž x = (โˆ’(โˆ’1) ยฑ โˆš((โˆ’1)^2 โˆ’ 4 ร— 1 ร— 2))/(2 ร— 1) = (1 ยฑ โˆš(1โˆ’8))/2 = (1 ยฑ โˆš(โˆ’7))/2 = (1 ยฑ โˆš(โˆ’1 ร— 7))/2 = (1ยฑ โˆš(โˆ’1) ร—โˆš7)/2 = (1 ยฑ โˆš7 ๐‘–)/2 Thus, ๐‘ฅ = (1 ยฑ โˆš7 ๐‘–)/2

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