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1
H=(1+x^5-x^7)^{{2012}^{3^{11}}} (HOMC 2012 Q1)
H=(1+x^5-x^7)^{{2012}^{3^{11}}} (HOMC 2012 Q1)
Source:
July 24, 2019
algebra
Problem Statement
Let
x
=
6
+
2
5
+
6
−
2
5
20
x=\frac{\sqrt{6+2\sqrt5}+\sqrt{6-2\sqrt5}}{\sqrt{20}}
x
=
20
6
+
2
5
+
6
−
2
5
. The value of
H
=
(
1
+
x
5
−
x
7
)
2012
3
11
H=(1+x^5-x^7)^{{2012}^{3^{11}}}
H
=
(
1
+
x
5
−
x
7
)
2012
3
11
is (A)
1
1
1
(B)
11
11
11
(C)
21
21
21
(D)
101
101
101
(E) None of the above
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