\(x=0\Rightarrow A=0\)
Với \(x\ne0\)
\(\Rightarrow A=\dfrac{1}{\sqrt{x}+2+\dfrac{5}{\sqrt{x}}}=\dfrac{1}{\sqrt{x}+\dfrac{5}{\sqrt{x}}+2}\le\dfrac{1}{2\sqrt{\dfrac{5\sqrt{x}}{\sqrt{x}}}+2}=\dfrac{1}{2\sqrt{5}+2}\)
\(A_{max}=\dfrac{1}{2\sqrt{5}+2}\) khi \(\sqrt{x}=\dfrac{5}{\sqrt{x}}\Rightarrow x=5\)
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