x-1-x-x-2-1-x-x-1-

Question Number 135108 by bramlexs22 last updated on 10/Mar/21

{(\sqrt{\frac{x - 1}{x}})}^{x^{2}} = {(\frac{1}{x})}^{x + 1}

Answered by MJS_new last updated on 10/Mar/21

x^{2} = x + 1 \Leftrightarrow \frac{x - 1}{x} = \frac{1}{x^{2}}

\Rightarrow

x = \frac{1 + \sqrt{5}}{2}

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