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1
3x3 system \sqrt{x^3 - y} = z - 1 2022 Chile NMO L1 L2 P1
3x3 system \sqrt{x^3 - y} = z - 1 2022 Chile NMO L1 L2 P1
Source:
October 22, 2022
system of equations
algebra
chilean NMO
Problem Statement
Find all real numbers
x
,
y
,
z
x, y, z
x
,
y
,
z
that satisfy the following system
x
3
−
y
=
z
−
1
\sqrt{x^3 - y} = z - 1
x
3
−
y
=
z
−
1
y
3
−
z
=
x
−
1
\sqrt{y^3 - z} = x - 1
y
3
−
z
=
x
−
1
z
3
−
x
=
y
−
1
\sqrt{z^3 - x} = y - 1
z
3
−
x
=
y
−
1
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