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Question 5 - Quadaratic equation - Chapter 4 Class 11 Complex Numbers
Last updated at April 16, 2024 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
Ex5.3, 5 Solve the equation 2 + 3 + 5 = 0 2 + 3 + 5 = 0 The above equation is of the form 2 + + = 0 Where a = 1 , b = 3 , c = 5 = ( ( ^2 4 ))/2 = ( 3 ((3)^2 4 1 5))/(2 1) = ( 3 (9 20))/2 = ( 3 ( 11))/2 = ( 3 ( 1 11))/2 = ( 3 ( 1 ) 11)/2 = ( 3 11 )/2 Thus, = ( 3 11 )/2
