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Find the value of $x$ if $x$ is positive and $x\cdot\lfloor x\rfloor=700$. Express your answer as a decimal.

 Jul 10, 2021
 #1
avatar+76 
+4

Answer: \(26.9230769231\)

 

Solution:

Sorry for the late response. It is somewhere between 26 and 27, because \(\sqrt700\) is somewhere between 26 and 27. Which means the floor of x is 26. So 26x=700. This turns into x = 700/26. Doing the division gives \(26.9230769231\).

 Jul 11, 2021
 #2
avatar+114044 
0

Hi Why,

In case you did not realize, you are allowed/encouraged to give yourself a point for a good answer.

Melody  Jul 11, 2021

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