CEMC Euclid, 2000

Algebra Difficulty 2.0 Junior Prove it Canada

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

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