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National and Regional Contests
South Africa Contests
South Africa National Olympiad
2000 South africa National Olympiad
2
Quartic equation
Quartic equation
Source: South Africa 2000
September 30, 2005
Problem Statement
Solve for
x
x
x
, given
36
x
4
+
36
x
3
−
7
x
2
−
6
x
+
1
=
0
36x^4 + 36x^3 - 7x^2 - 6x + 1 = 0
36
x
4
+
36
x
3
−
7
x
2
−
6
x
+
1
=
0
.
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