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Prove that: w=omega (2+w 2 )=3/(2+w)

Prove that:                                    w=omega
(2+w2)=3/(2+w)

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1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
9 years ago
Hello student,
Given LHS=(2+w2)
Multiplying it with (2+w) we get
=(2+w)(2+w2)
=4+2w+2w2+w3
=5+2(w+w2) since w+w2=-1 and w3=1
=5-2=3
Similarly multiplying RHS by 2+w we get 3
Hence LHS=RHS
Thanks and Regards
Shaik Aasif
askIITians faculty

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