bitteroceans
bitteroceans bitteroceans
  • 02-04-2019
  • Mathematics
contestada

The value of [tex]\sqrt[3]{x}[/tex] where x is an integer, is located between 6 and 7 on the number line. What could be the value of x?

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Tucon
Tucon Tucon
  • 02-04-2019

 

[tex]\displaystyle\\6<\sqrt[3]{x}<7~~~\Big|^3\\\\6^3<\Big(\sqrt[3]{x}\Big)^3<7^3\\\\216<x<343\\\\\boxed{x\in\{217,~218,~219,~220,~\cdots~,~340,~341,~342\}}[/tex]

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lbuckau2
lbuckau2 lbuckau2
  • 02-04-2019

Answer:

Step-by-step explanation:

The value would be 6.5

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