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National and Regional Contests
India Contests
India IOQM
2024-25 IOQM India
26
IOQM P26 2024
IOQM P26 2024
Source:
September 8, 2024
floor function
Problem Statement
The sum of
⌊
x
⌋
\lfloor x \rfloor
⌊
x
⌋
for all real numbers
x
x
x
satisfying the equation
16
+
15
x
+
15
x
2
=
⌊
x
⌋
3
16 + 15x + 15x^2 = \lfloor x \rfloor ^3
16
+
15
x
+
15
x
2
=
⌊
x
⌋
3
is:
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