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Question 10 - Quadaratic equation - Chapter 4 Class 11 Complex Numbers
Last updated at August 17, 2026 by Teachoo
Chapter 4 Class 11 Complex Numbers
Concept wise
-
Quadaratic equation
- Two complex numbers equal
- Convert to a + ib form
- Identities (square, cube of 2 complex numbers)
- Division
- Power of i(odd and even)
- Conjugate
- Modulus,argument
- Polar representation
- Proof- Replacing iota with -iota
- Proof- Taking general complex numbers
- Proof- Solving
- Proof- Using modulus conjugate property (Pg 102)
Transcript
Question 10 Solve the equation 2 + x/ 2 + 1=0 x2 + x/ 2 + 1 = 0 Multiply the equation by 2 2 ( ^2+ / 2+1) = 2 0 2 x2 + 2 / 2 + 2 1 = 0 2x2 + x + 2 = 0 The above equation is of the form 2 + + = 0 Where a = 2 , b = 1, and c = 2 = ( ( ^2 4 ))/2 = ( 1 (1^2 4 (2 ) 2) )/(2 2) = ( 1 (1 4 2))/(2 2) = ( 1 (1 8))/(2 2) = ( 1 ( 7))/(2 2) = ( 1 ( 1 7))/(2 2) = ( 1 7 ( 1))/(2 2) = ( 1 7 )/(2 2) Thus, = ( 1 7 )/(2 2)
