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Bosnia Herzegovina Contests
Regional Olympiad - Republic of Srpska
2004 Regional Olympiad - Republic of Srpska
1
equation
equation
Source: RS2004
March 20, 2005
algebra proposed
algebra
Problem Statement
Find all real solutions of the equation
x
−
1
3
+
3
x
−
1
3
=
x
+
1
3
.
\sqrt[3]{x-1}+\sqrt[3]{3x-1}=\sqrt[3]{x+1}.
3
x
−
1
+
3
3
x
−
1
=
3
x
+
1
.
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