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Wildan Bagus W

Nilai dari $x+\frac{1}{x}$

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\begin{align*}x+\sqrt{x}&=1\\\sqrt{x}&=1-x\\x&=1-2x+x^2\\x^2+1&=3x.\end{align*} Nilai dari $x+\frac{1}{x}=\frac{x^2+1}{x}=\frac{3x}{x}=\boxed{3}.$

 

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