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Question Number 163860 by mathlove last updated on 11/Jan/22

Answered by Ar Brandon last updated on 11/Jan/22

$$\Rightarrow \sqrt[4]{x}+\frac{1}{\sqrt[4]{x}}+\sqrt[4]{x}+\frac{1}{\sqrt[4]{x}}=5$$$$\Rightarrow 2\sqrt[4]{x}+\frac{2}{\sqrt[4]{x}}=5$$$$\Rightarrow 2\sqrt[4]{x^2}-5\sqrt[4]{x}+2=0$$$$\Rightarrow \sqrt[4]{x}=\frac{5\pm \sqrt{9}}{4}$$$$\Rightarrow x=\frac{{(5\pm 3)}^4}{16}$$

Commented by mathlove last updated on 11/Jan/22

$$thanks$$

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