2021-2-2021-2-2021-2x-x-x-

Question Number 160832 by cortano last updated on 07/Dec/21

\sqrt{2021 - 2 \sqrt{2021 - 2 \sqrt{2021 - 2 x}}} = x

x = ?

Answered by Raxreedoroid last updated on 07/Dec/21

x = \sqrt{2021 - 2 x}

x^{2} = 2021 - 2 x

x^{2} + 2 x - 2021 = 0

x = - 1 \pm \sqrt{2022}

Commented by mr W last updated on 07/Dec/21

x = \sqrt{\dots .} > 0

\Rightarrow o n l y x = - 1 + \sqrt{2022} i s r o o t .

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