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# 2 floor ceiling problems

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1) If $$z = \frac{ \left\{ \sqrt{3} \right\}^2 - 2 \left\{ \sqrt{2} \right\}^2 }{ \left\{ \sqrt{3} \right\} - 2 \left\{ \sqrt{2} \right\} }$$ find $$\lfloor z \rfloor.$$

2) If $$\lceil x\rceil+\lfloor x\rfloor+x=4.8$$ find x.

Aug 6, 2019

#1
+6046
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1) do the braces mean ceiling or fractional part or neither?

2) clearly x = z + 0.8

a little tinkering shows x = 1.8

2 + 1 + 1.8 = 4.8

Aug 7, 2019
#2
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I think the guest meant {} as fractional part

Guest Aug 7, 2019