contestada

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

Respuesta :

[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]