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Question 3 - 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
Question 3 Solve the equation 2 2 + 3/2 = 0 2 2 + 3/2 = 0 Multiplying whole equation by 2 2 2 2 2 + 2 3/2 = 0 2 2 2 4 + 3 = 0 The above equation is of the form 2 + + = 0 Where a = 2 , b = -4 , and c = 3 = ( ( ^2 4 ))/2 = ( ( 4) (( 4)^2 4 2 3))/(2 2) = (4 (16 24))/4 = (4 ( 8))/4 = (4 ( 4 2 ))/4 = (4 ( 1 4 2))/4 = (4 ( 1) 4 ( 2))/4 = (4 2 ( 2))/4 = (4 2 ( 2))/4 = (2(2 ( 2)))/4 = (2 (2 ) )/2 Thus, = (2 (2 ) )/2
