Determine all possible values of a real number x that satisfies this equation:
x*floor(x*floor(x*floor(x))) = 125
Since we are multiplying four similar numbers together the answer(s) should in in the neighborhood of the fourth root(s) of 125 or about +/- 3.34
Note that the expression is x*floor(.) so x=125/y for some integer y.
125/3.34 = 37.383 so the solutions are around +/- 125/37
The positive solution should be a bit larger and the negative a bit smaller (because the floor function rounds down)
A quick table of 125/y finds the positive solution x=125/35
and altering for negatives finds x=-125/39
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Posted by Jer
on 2022-02-13 09:57:48 |
Solution
