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Soros Olympiad in Mathematics
IV Soros Olympiad 1997 - 98 (Russia)
11.3
| ... |||x^2-x| -1|-1 |...-1|=x^2-2x-14 (IV Soros Olympiad 1997-98 R3 11.3)
| ... |||x^2-x| -1|-1 |...-1|=x^2-2x-14 (IV Soros Olympiad 1997-98 R3 11.3)
Source:
June 2, 2024
algebra
Problem Statement
Solve the equation
∣
.
.
.
∣
∣
∣
x
2
−
x
∣
−
1
∣
−
1
∣
.
.
.
−
1
∣
=
x
2
−
2
x
−
14.
\left| ... \left|\left||x^2-x| -1\right|-1 \right|...-1\right|=x^2-2x-14.
...
∣
x
2
−
x
∣
−
1
−
1
...
−
1
=
x
2
−
2
x
−
14.
(There are
11
11
11
units on the left side.)
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