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Soros Olympiad in Mathematics
IV Soros Olympiad 1997 - 98 (Russia)
9.4
(x^2-x-1)^2-x^3=5 (IV Soros Olympiad 1997-98 R2 9.4)
(x^2-x-1)^2-x^3=5 (IV Soros Olympiad 1997-98 R2 9.4)
Source:
June 1, 2024
algebra
Problem Statement
Solve the equation
(
x
2
−
x
−
1
)
2
−
x
3
=
5
(x^2-x-1)^2-x^3=5
(
x
2
−
x
−
1
)
2
−
x
3
=
5
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