|-x|...

anastasiaovsanik @anastasiaovsanik

July 2022 1 5 Report

Известно, что x^2+1/x^2=23
Вычислить: -|x|-1/|-x|

Answers & Comments

NNNLLL54

Verified answer

$\frac{x^2+1}{x^2}=23\\\\x^2+1=23x^2\\\\22x^2=1\\\\x^2= \frac{1}{22}\\\\x^2=|x|^2= \frac{1}{22}\\\\|x|= \frac{1}{\sqrt{22}}\; \; \; \Rightarrow \quad x=\pm \frac{1}{\sqrt{22}}\; \; ,\; \; \; |x|=|-x|\\\\\frac{-|x|-1}{|-x|}=\frac{-|x|-1}{|x|}=\frac{-\frac{1}{\sqrt{}22}-1}{\frac{1}{\sqrt{22}}}=\frac{-1-\sqrt{22}}{\sqrt{22}\cdot \frac{1}{\sqrt{22}}}=-1-\sqrt{22}$

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