tex]...

chel2010 @chel2010

July 2022 1 3 Report

Решите уравнение ! по мне так ппц сложное) кто решит правильно + балы дам!

[tex]\frac{0.2x + |x|}{|x| - \frac{x}{45} - 1} = \frac{1.7: \frac{1}{3}} {\frac {2}{3} - 0.2 : \frac {1}{9}} [/tex]

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arsenlevadniy

Verified answer

$\frac{1,7:\rac{1}{3}}{\frac{2}{3}-0,2:\frac{1}{9}}=\frac{\frac{17}{10}\cdot3}{\frac{2}{3}-\frac{2}{10}\cdot9}=\frac{51}{\frac{20}{3}-18}=\frac{51\cdot3}{-34}=-\frac{9}{2}=-4,5;$

$\frac{0,2x + |x|}{|x|-\frac{x}{45}-1}=-4,5,$

$\frac{0,2x + x}{x-\frac{x}{45}-1}=-4,5,$ {совокупность}

$\frac{0,2x - x}{-x-\frac{x}{45}-1}=-4,5;$

$\frac{1,2x\cdot45}{44x-45}=-4,5,$

$\frac{-0,8x\cdot45}{-46x-45}=-4,5;$

$12x=-(44x-45),$

$8x=-46x-45;$

$56x=45,$

$54x=-45;$

$x=\frac{45}{56},$

$x=-\frac{45}{54};$

Проверка

$\frac{0,2\frac{45}{56} + |\frac{45}{56}|}{|\frac{45}{56}|-\frac{\frac{45}{56}}{45}-1}=\frac{0,2\frac{45}{56} + \frac{45}{56}}{\frac{45}{56}-\frac{45}{45\cdot56}-1}=\frac{\frac{45}{56}(\frac{2}{10} +1)}{\frac{45}{56}-\frac{1}{56}-1}=\frac{\frac{45}{56}\cdot\frac{12}{10} }{\frac{44}{56}-1}=\frac{\frac{27}{28}}{-\frac{12}{56}}=-\frac{9}{2}=-4,5$

$\frac{0,2(-\frac{45}{54}) + |-\frac{45}{54}|}{|-\frac{45}{54}|-\frac{-\frac{45}{54}}{45}-1}=\frac{0,2(-\frac{45}{54}) + \frac{45}{54}}{\frac{45}{54}+\frac{45}{45\cdot54}-1}=\frac{\frac{45}{54}(1-\frac{2}{10})}{\frac{45}{54}+\frac{1}{54}-1}=\frac{\frac{45}{54}\cdot\frac{8}{10}}{\frac{46}{54}-1}=\frac{\frac{4}{3}}{-\frac{8}{54}}=-\frac{9}{2}=-4,5$

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