Please wait...
1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days
8104911739
For Business Enquiry

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this toll free number

022-62211530

Mon to Sat - 11 AM to 8 PM

solve it with iota and omega

qsnImg
Asked by defence 24th April 2019, 11:57 AM
Answered by Expert
Answer:
omega space i s space a n space i m a g i n a r y space c u b e space r o o t space o f space u n i t y
rightwards double arrow omega cubed equals 1
rightwards double arrow omega cubed minus 1 equals 0
rightwards double arrow left parenthesis omega minus 1 right parenthesis left parenthesis omega squared plus omega plus 1 right parenthesis equals 0 space.... space u sin g space t h e space f o r m u l a space o f space c u b e s space o f space b i n o m i a l s
S i n c e comma space omega not equal to 1 space rightwards double arrow omega squared plus omega plus 1 equals 0 space...... space left parenthesis i right parenthesis
T o space p r o v e colon space fraction numerator 1 over denominator 1 plus 2 omega end fraction plus fraction numerator 1 over denominator 2 plus omega end fraction minus fraction numerator 1 over denominator 1 plus omega end fraction equals 0
L H S equals fraction numerator 1 over denominator 1 plus 2 omega end fraction plus fraction numerator 1 over denominator 2 plus omega end fraction minus fraction numerator 1 over denominator 1 plus omega end fraction
equals fraction numerator left parenthesis 2 plus omega right parenthesis left parenthesis 1 plus omega right parenthesis plus left parenthesis 1 plus 2 omega right parenthesis left parenthesis 1 plus omega right parenthesis minus left parenthesis 1 plus 2 omega right parenthesis left parenthesis 2 plus omega right parenthesis over denominator left parenthesis 1 plus 2 omega right parenthesis left parenthesis 2 plus omega right parenthesis left parenthesis 1 plus omega right parenthesis end fraction
equals fraction numerator 2 plus 3 omega plus omega squared plus 1 plus 3 omega plus 2 omega squared minus 2 minus 5 omega minus 2 omega squared over denominator left parenthesis 1 plus 2 omega right parenthesis left parenthesis 2 plus omega right parenthesis left parenthesis 1 plus omega end fraction
equals fraction numerator 3 plus 6 omega plus 3 omega squared minus 2 minus 5 omega minus 2 omega squared over denominator left parenthesis 1 plus 2 omega right parenthesis left parenthesis 2 plus omega right parenthesis left parenthesis 1 plus omega right parenthesis end fraction
equals fraction numerator 1 plus omega plus omega squared over denominator left parenthesis 1 plus 2 omega right parenthesis left parenthesis 2 plus omega right parenthesis left parenthesis 1 plus omega right parenthesis end fraction
equals 0 space.............. space U sin g space left parenthesis i right parenthesis
H e n c e comma space fraction numerator 1 over denominator 1 plus 2 omega end fraction plus fraction numerator 1 over denominator 2 plus omega end fraction minus fraction numerator 1 over denominator 1 plus omega end fraction equals 0.
Answered by Expert 25th April 2019, 10:21 AM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Your answer has been posted successfully!

Free related questions

4th June 2018, 12:25 PM
4th June 2018, 11:37 AM
13th November 2018, 10:19 AM

Chat with us on WhatsApp