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Problem 2
polynomials
polynomials
Source:
July 22, 2013
algebra
polynomial
Problem Statement
If
a
,
b
,
c
,
d
a,b,c,d
a
,
b
,
c
,
d
are Distinct Real no. such that
a
=
4
+
5
+
a
a = \sqrt{4+\sqrt{5+a}}
a
=
4
+
5
+
a
b
=
4
−
5
+
b
b = \sqrt{4-\sqrt{5+b}}
b
=
4
−
5
+
b
c
=
4
+
5
−
c
c = \sqrt{4+\sqrt{5-c}}
c
=
4
+
5
−
c
d
=
4
−
5
−
d
d = \sqrt{4-\sqrt{5-d}}
d
=
4
−
5
−
d
Then
a
b
c
d
=
abcd =
ab
c
d
=
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