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1. Find the value of $x$ if $x$ is positive and $x\cdot\lfloor x\rfloor=70$. Express your answer as a decimal.

 Apr 24, 2018
 #1
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\(x\cdot\lfloor x\rfloor=70 \)

 

Note that √70  ≈ 8.366

 

So... if we divide 70 by 8  we get  70 / 8  =  35 / 4 = 8 3/4  = 8.75

 

So.....8.75 * 8  = 70

 

And ....  the floor of 8.75  =  8

 

So

 

8.75 * floor [ 8.75 ] =

 

8.75  * 8    =

 

70

 

Then  x  = 8.75

 

 

cool cool cool

 Apr 25, 2018
edited by CPhill  Apr 25, 2018

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