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Soros Olympiad in Mathematics
IV Soros Olympiad 1997 - 98 (Russia)
10.2
\sqrt[3]{x^3+6x^2-6x-1}=\sqrt{x^2+4x+1} (IV Soros Olympiad 1997-98 R2 10.2)
\sqrt[3]{x^3+6x^2-6x-1}=\sqrt{x^2+4x+1} (IV Soros Olympiad 1997-98 R2 10.2)
Source:
June 1, 2024
algebra
Radicals
Problem Statement
Solve the equation
x
3
+
6
x
2
−
6
x
−
1
3
=
x
2
+
4
x
+
1
\sqrt[3]{x^3+6x^2-6x-1}=\sqrt{x^2+4x+1}
3
x
3
+
6
x
2
−
6
x
−
1
=
x
2
+
4
x
+
1
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