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Math Help - Inequality

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    Inequality


    Could someone please explain how to solve this problem. Cheers troops.
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  2. #2
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    \begin{gathered}<br />
\left( {a - b} \right)^2 \geqslant 0 \Rightarrow \quad a^2 + b^2 \geqslant 2ab \hfill \\<br />
\text{let }a = \sqrt x \,\& \,b = \frac{1}<br />
{{\sqrt x }} \hfill \\ <br />
\end{gathered}
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  3. #3
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    And since you're in calculus, you can also differentiate the function f(x)=x+\frac 1x
    and see its variations
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