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The equation x^2 – 4x + [x] + 3 = x[x], where [x] denotes the greatest integer function, has: 

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The equation x2 – 4x + [x] + 3 = x[x], where [x] denotes the greatest integer function, has: 

(1) exactly two solutions in (-∞, ∞)

(2) no solution

(3) a unique solution in (-∞, 1)

(4) a unique solution in (-∞, ∞)

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(4) a unique solution in (-∞, ∞)

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