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This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.
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Case 1. X> 0. Let the floor of X be A.
Then A (A+1)> 2013> A (A). If A> 44, the right side is not satisfied. If A <45, then the left side is not satisfied. No solutions in this case.
Case 2. X <0. (Again, let the floor of X be A)
Then A2>2013>A(A+1).
Note that A=-45 is the only solution. This gives x=−452013 as the only solution.
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Well dude still I'didn't get 2013 as the asnwer even by using a calculator.
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You might be mistaken. ⌊−452013⌋=⌊−44.7333…⌋=−45 instead of −44 as you might have thought. You can then see that x⌊x⌋=2013 very easily.
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44
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thank you
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It is not complete, as the case for x <0 was not considered. There is one solution, as shown in my solution above.
jessen wkwkwkw:D
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lol