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Omni-MATH / Solve in the set of real numbers the equation 3x^3 minus{} [x] equal{} 3, where [x] denotes the integer part of x.

Problem

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problem

Solve in the set of real numbers the equation \[ 3x^3 \minus{} [x] \equal{} 3,\] where [x] [x] denotes the integer part of x. x.
Plain-text mathematical notation (without MathML)
Solve in the set of real numbers the equation \[ 3x^3 \minus{} [x] \equal{} 3,\] where [x] denotes the integer part of x.
Original LaTeX notation
Solve in the set of real numbers the equation \[ 3x^3 \minus{} [x] \equal{} 3,\] where $ [x]$ denotes the integer part of $ x.$

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