IMO 2016, Chapter 5 question 3
if cuberoot of {3 * [ cuberootof(x) - 1/cuberootof(x)]} =2
then
cuberoot(x) + 1/cuberoot(x) = ???
\(\displaystyle \mbox{3. If }\, \sqrt[3]{3\left(\sqrt[3]{x\,}\, -\, \dfrac{1}{\sqrt[3]{x\,}}\right)\,}\, =\, 2\)
. . .\(\displaystyle \mbox{then find the value of }\, \sqrt[3]{\strut x\,}\, +\, \dfrac{1}{\sqrt[3]{\strut x\,}}\)
if cuberoot of {3 * [ cuberootof(x) - 1/cuberootof(x)]} =2
then
cuberoot(x) + 1/cuberoot(x) = ???
\(\displaystyle \mbox{3. If }\, \sqrt[3]{3\left(\sqrt[3]{x\,}\, -\, \dfrac{1}{\sqrt[3]{x\,}}\right)\,}\, =\, 2\)
. . .\(\displaystyle \mbox{then find the value of }\, \sqrt[3]{\strut x\,}\, +\, \dfrac{1}{\sqrt[3]{\strut x\,}}\)
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