[tex] \frac{ 1}{2}^{x^{2}-x} =\sqrt[4]{2} [/tex]. Created by Larenia. algebra-ru

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[tex] \frac{ 1}{2}^{x^{2}-x} =\sqrt[4]{2} [/tex]

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Artem112

Verified answer

$\frac{ 1}{2}^{x^{2}-x} =\sqrt[4]{2} 
\\\
2^{x-x^{2}} =2^ {\frac{1}{4} }
\\\
x-x^{2}=\frac{1}{4} 
\\
4x^2-4x+1=0
\\\
(2x-1)^2=0
\\\
2x-1=0
\\\
2x=1
\\\
x=0.5$
Ответ: 0,5

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