# Floor Floor Floor Floor

Algebra Level 4

Given the equation

$x \lfloor x \lfloor x \lfloor x \rfloor \rfloor \rfloor = 41$

If $$\alpha$$ denote the largest negative value of $$x$$ which satisfy the equation above, while $$\beta$$ denote the smallest positive value of $$x$$ which satisfy the equation above.

What is the value of $$17\alpha + 28\beta$$?

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