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7
x^4 = 2x^2 + [x] (HOMC 2015 J Q7)
x^4 = 2x^2 + [x] (HOMC 2015 J Q7)
Source:
August 6, 2019
floor function
algebra
Problem Statement
Solve equation
x
4
=
2
x
2
+
⌊
x
⌋
x^4 = 2x^2 + \lfloor x \rfloor
x
4
=
2
x
2
+
⌊
x
⌋
, where
⌊
x
⌋
\lfloor x \rfloor
⌊
x
⌋
is an integral part of
x
x
x
.
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