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Question 8 - Quadaratic equation - Chapter 4 Class 11 Complex Numbers
Last updated at Dec. 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, 8 Solve the equation 3x2 2x + 3 3 = 0 3x2 2x + 3 3 = 0 The above equation is of the form 2 + + = 0 Where a = 3 , b = 2, and c = 3 3 x = ( ( ^2 4 ))/2 = ( (" " 2 ) ((" " 2 )^2 4 (3 ) 3 3) )/(2 3) = ( 2 (2 4 3 3))/(2 3) = ( 2 (2 36))/(2 3) = ( 2 ( 34))/(2 3) = ( 2 ( 1 34))/(2 3) = ( 2 ( 1 ) (34 ))/(2 3) = ( 2 34 )/(2 3) Thus, = ( 2 34 )/(2 3)
