Question

of (a + i6) ^5= a +iB the (b+ ia) is equal to​

Answer 1

Answer:

Step-by-step explanation:

Given,

(a+ib)  

5

=α+iβ

or, i  

5

(b−ai)  

5

=α+iβ [ Taking i common from the right hand side]

or, i(b−ai)  

5

=α+iβ [ Since i  

4

=1]

or, (b−ai)  

5

=β−iα [ Multiplying both sides with −i]

Now taking conjugate both sides we get,

(b+ia)  

5

=β+iα. [ Since  

z  

5

 

=  

z

 

5

].

Answer 2

Answer:

Given,

(a+ib)

5

=α+iβ

or, i

5

(b−ai)

5

=α+iβ [ Taking i common from the right hand side]

or, i(b−ai)

5

=α+iβ [ Since i

4

=1]

or, (b−ai)

5

=β−iα [ Multiplying both sides with −i]

Now taking conjugate both sides we get,

(b+ia)

5

=β+iα. [ Since

z

5

=

z

5

].

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