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Mathematics
Mathematics
Problem
The equation
x
2
−
2
=
[
sin
x
]
x^2 - 2 = [\sin x]
x
2
−
2
=
[
sin
x
]
, where
[
⋅
]
[\cdot]
[
⋅
]
denotes the greatest integer function, has a. infinity many roots b. exactly one integer root c. exactly one irrational root d. exactly two roots
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