Let [x] denote the greatest integer function. What is the number of solutions of the equation x² – 4x + [x] = 0 in the interval [0, 2]? - NDA Mathematics 2018 (I)

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Let [x] denote the greatest integer function. What is the number of solutions of the equation x² – 4x + [x] = 0 in the interval [0, 2]?