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Vietnam Contests
Vietnam National Olympiad
1979 Vietnam National Olympiad
5
5
Part of
1979 Vietnam National Olympiad
Problems
(1)
x^2 - 2x[x] +x - k= 0 , find real k, so that it has >=2 non-negative roots
Source: Vietnam MO 1979 P5
7/28/2018
Find all real numbers
k
k
k
such that
x
2
−
2
x
[
x
]
+
x
−
k
=
0
x^2 - 2 x [x] + x - k = 0
x
2
−
2
x
[
x
]
+
x
−
k
=
0
has at least two non-negative roots.
algebra
Integer Part
equation