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2015 JBMO Shortlist
A2
given x^3-3\sqrt3 x^2 +9x - 3\sqrt3 -64=0
given x^3-3\sqrt3 x^2 +9x - 3\sqrt3 -64=0
Source: JBMO Shortlist 2015 A2
April 24, 2019
algebra
polynomial
Problem Statement
If
x
3
−
3
3
x
2
+
9
x
−
3
3
−
64
=
0
x^3-3\sqrt3 x^2 +9x - 3\sqrt3 -64=0
x
3
−
3
3
x
2
+
9
x
−
3
3
−
64
=
0
find the value of
x
6
−
8
x
5
+
13
x
4
−
5
x
3
+
49
x
2
−
137
x
+
2015
x^6-8x^5+13x^4-5x^3+49x^2-137x+2015
x
6
−
8
x
5
+
13
x
4
−
5
x
3
+
49
x
2
−
137
x
+
2015
.
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