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Soros Olympiad in Mathematics
II Soros Olympiad 1995 - 96 (Russia)
11.9
x(2^{1-2x}-1)=2^{x-2x^2}-1 (II Soros Olympiad 1997-98 R3 11.8)
x(2^{1-2x}-1)=2^{x-2x^2}-1 (II Soros Olympiad 1997-98 R3 11.8)
Source:
June 6, 2024
algebra
Problem Statement
Solve the equation
x
(
2
1
−
2
x
−
1
)
=
2
x
−
2
x
2
−
1
x(2^{1-2x}-1)=2^{x-2x^2}-1
x
(
2
1
−
2
x
−
1
)
=
2
x
−
2
x
2
−
1
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