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AP EAMCET Engineering 26 Apr 2017 Shift 1 Paper
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© examsnet.com
Question : 10
Total: 160
If α is a non-real root
x
7
=
1
,
then
α
(
1
+
α
)
(
1
+
α
2
+
α
4
)
=
2
-1
1
-2
Validate
Solution:
It is given that
α
is a non real root of
x
7
=
1
Thus,
α
7
=
1
,
α
≠
1
Now,
α
(
1
+
α
)
(
1
+
α
2
+
α
4
)
=
α
(
1
+
α
2
+
α
4
+
α
+
α
3
+
α
5
)
=
α
+
α
2
+
α
5
+
α
2
+
α
4
+
α
6
=
α
(
1
−
α
6
)
1
−
α
=
α
−
α
7
1
−
α
Solve further,
α
(
1
+
α
)
(
1
+
α
2
+
α
4
)
=
α
−
1
1
−
α
=
−
1
© examsnet.com
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