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Grosman Mathematical Olympiad
1997 Israel Grosman Mathematical Olympiad
3
\sqrt[4]{13+x}+ \sqrt[4]{14-x} = 3
\sqrt[4]{13+x}+ \sqrt[4]{14-x} = 3
Source: Israel Grosman Memorial Mathematical Olympiad 1997 p3
February 15, 2020
radical
equation
algebra
Problem Statement
Find all real solutions of
13
+
x
4
+
14
−
x
4
=
3
\sqrt[4]{13+x}+ \sqrt[4]{14-x} = 3
4
13
+
x
+
4
14
−
x
=
3
.
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