Maths Olympiad Prep

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, 2000

Algebra Difficulty 2.0 Junior Prove it Canada

Let x\lfloor x \rfloor represent the greatest integer which is less than or equal to xx. For example, 3=3\lfloor 3 \rfloor = 3, 2.6=2\lfloor 2.6 \rfloor = 2. If xx is positive and xx=17x \lfloor x \rfloor = 17, what is the value of xx?

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