A Question

Algebra Level 4

Let \(x\) be a positive number such that \(\left\lfloor { x }^{ 2 } \right\rfloor +\left\lfloor x \right\rfloor =15\). If the restriction of \(x\) is \(a\le x<b \) , what is \((a+b)\)?

Round your answer to 2 decimal places.

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