identify the pair of consecutive integers between which the positive geometric mean for 4 and 12 falls between

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25-05-2017
Mathematics

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identify the pair of consecutive integers between which the positive geometric mean for 4 and 12 falls between

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jdoe0001 jdoe0001 · Answer 1 · 2017-05-25T00:53:13+02:00

jdoe0001 jdoe0001

25-05-2017

[tex]\bf \cfrac{4}{x}=\cfrac{x}{12}\impliedby x=\textit{geometric mean}\implies 48=x^2 \\\\\\ \sqrt{48}=x\implies 4\sqrt{3}=x\implies 6.9\approx x \\\\\\ \boxed{6}\leftarrow 4\sqrt{3}\to \boxed{7}[/tex]

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