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Misc 7 - Solve x2 - 2x + 3/2 = 0 - Chapter 5 Class 11 - Quadaratic equation

  1. Chapter 5 Class 11 Complex Numbers
  2. Serial order wise
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Misc 7 Solve the equation ๐‘ฅ2 โ€“ 2๐‘ฅ + 3/2 = 0 ๐‘ฅ2 โ€“ 2๐‘ฅ + 3/2 = 0 Multiplying whole equation by 2 2 ร— ๐‘ฅ2 โ€“ 2 ร— 2๐‘ฅ + 2 ร— 3/2 = 0 ร— 2 2๐‘ฅ2 โ€“ 4๐‘ฅ + 3 = 0 The above equation is of the form ๐‘Ž๐‘ฅ2 + ๐‘๐‘ฅ + ๐‘ = 0 Where a = 2 , b = -4 , and c = 3 ๐‘ฅ = (โˆ’๐‘ ยฑโˆš( ๐‘^2 โˆ’ 4๐‘Ž๐‘ ))/2๐‘Ž ๐‘ฅ = (โˆ’(โˆ’4) ยฑ โˆš((โˆ’4)^2 โˆ’4 ร— 2 ร— 3))/(2 ร— 2) = (4 ยฑ โˆš(16 โˆ’ 24))/4 = (4 ยฑ โˆš(โˆ’8))/4 = (4 ยฑ โˆš(โˆ’4 ร— 2 ))/4 = (4 ยฑ โˆš(โˆ’1 ร— 4 ร— 2))/4 = (4 ยฑ โˆš(โˆ’1) ร— โˆš4 ร— โˆš( 2))/4 = (4 ยฑ ๐‘– ร— 2 ร— โˆš( 2))/4 = (4 ยฑ ๐‘–2โˆš( 2))/4 = (2(2 ยฑ ๐‘–โˆš( 2)))/4 = (2 ยฑ โˆš(2 ) ๐‘–)/2 Thus, ๐‘ฅ = (2 ยฑ โˆš(2 ) ๐‘–)/2

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
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