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0 votes
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in Mathematics by (53.3k points)

If z is a non-real root of 7 –1, then z86  + z175 +  z289 is equal to 

(a)   0

(b)   –1

(c)   3

(d)   1

1 Answer

+1 vote
by (63.3k points)
selected by
 
Best answer

Correct option (b) –1

Explanation:

z = 7 –1 

z7 = –1

∴ z86  +  z175  +  z289 = (z7 )12 z2 + (z7 )25 + (z7 ) 41.z2 

 = z– 1 – z2 = –1

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