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Mathematics
Mathematics
Problem
If
1
,
ω
,
ω
2
1, \omega, \omega^2
1
,
ω
,
ω
2
are the cube roots of unity, then the roots of the equation
(
x
−
1
)
3
+
8
=
0
(x - 1)^3 + 8 = 0
(
x
−
1
)
3
+
8
=
0
are a.
−
1
,
1
+
2
ω
,
1
+
2
ω
2
-1, 1 + 2\omega, 1 + 2\omega^2
−
1
,
1
+
2
ω
,
1
+
2
ω
2
b.
−
1
,
1
−
2
ω
,
1
−
2
ω
2
-1, 1 - 2\omega, 1 - 2\omega^2
−
1
,
1
−
2
ω
,
1
−
2
ω
2
c.
−
1
,
−
1
,
−
1
-1, -1, -1
−
1
,
−
1
,
−
1
d. None of these
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