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Finnish National High School Mathematics Competition
2015 Finnish National High School Mathematics Comp
1
\sqrt{1+ \sqrt {1+x}}=\sqrt[3]{x}
\sqrt{1+ \sqrt {1+x}}=\sqrt[3]{x}
Source: Finland 2015, Problem 1
September 1, 2019
algebra
radical
equation
Problem Statement
Solve the equation
1
+
1
+
x
=
x
3
\sqrt{1+\sqrt {1+x}}=\sqrt[3]{x}
1
+
1
+
x
=
3
x
for
x
≥
0
x \ge 0
x
≥
0
.
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