Question

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

$frac{0.2x + |x|}{|x| - frac{x}{45} - 1} = frac{1.7: frac{1}{3}} {frac {2}{3} - 0.2 : frac {1}{9}}$

Answer 1

$frac{1,7:rac{1}{3}}{frac{2}{3}-0,2:frac{1}{9}}=frac{frac{17}{10}cdot3}{frac{2}{3}-frac{2}{10}cdot9}=frac{51}{frac{20}{3}-18}=frac{51cdot3}{-34}=-frac{9}{2}=-4,5</var>;$</p> <p> </p> <p><img src=[/tex]frac{0,2x + |x|}{|x|-frac{x}{45}-1}=-4,5," title="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{51cdot3}{-34}=-frac{9}{2}=-4,5;" title="frac{0,2x + |x|}{|x|-frac{x}{45}-1}=-4,5," title="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{51cdot3}{-34}=-frac{9}{2}=-4,5;" alt="frac{0,2x + |x|}{|x|-frac{x}{45}-1}=-4,5," title="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{51cdot3}{-34}=-frac{9}{2}=-4,5;" />

 

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

 

$<var>frac{0,2x + |x|}{|x|-frac{x}{45}-1}=-4,5," /></var></p> <p> </p> <p>[tex]frac{0,2x + x}{x-frac{x}{45}-1}=-4,5,$ {совокупность}

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

 

$frac{1,2xcdot45}{44x-45}=-4,5,$

$frac{-0,8xcdot45}{-46x-45}=-4,5;$

 

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

$8x=-46x-45;$

 

$56x=45,$

$54x=-45;$

 

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

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

 

Проверка

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

 

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