Вычислить: y=1-|((1-sqrt5))/2)^2-2*(1-sqrt5)/2|. Created by Rauau1999. algebra-ru

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Rauau1999 @Rauau1999

June 2022 1 32 Report

Вычислить:
y=1-|((1-sqrt5))/2)^2-2*(1-sqrt5)/2|

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$1-\left | (\frac{1-\sqrt5}{2})^2 - 2\cdot \frac{1-\sqrt5}{2} \right |=1-\left | \frac{6-2\sqrt5}{2} -(1-\sqrt5)\right |=\\\\=1-\left | \frac{6-2\sqrt5-2+2\sqrt5}{2} \right |=1-\frac{4}{2}=1-2=-1$

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