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Question 9 - 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, 9 Solve the equation 2 + + 1/ 2 = 0 2 + + 1/ 2 = 0 Multiplying both sides by 2 2x2 + 2x + 2 1/ 2 = 0 2 2x2 + 2x + 1 = 0 The above equation is of the form 2 + + = 0 Where a = 2 , b = 2, and c = 1 = ( ( 2 4 ))/2 = ( 2 (( 2)^2 4 (2 ) 1))/(2 2) = ( 2 (( 2)^2 4 2 1))/(2 2) = ( 2 ( (2 4 2) ))/(2 2) = ( (2 ) (2 ) ( (1 2 2) ))/(2 2) = ( (2 ) ( 1 (1 2 2) ))/(2 2) = ( 1 (1 2 2) )/2 = ( 1 ( (2 2 1) ))/2 = ( 1 ( 1 (2 2 1) ))/2 = ( 1 ( 1) ( (2 2 1) ))/2 = ( 1 ( (2 2 1) ) )/2 = ( 1 ( (2 2 1) ) )/2 Thus, = ( 1 ( (2 2 1) ) )/2
