Найдите корень уравнения |x|-21,9=6 2/3. Created by PlayerTheMineToCraft. algebra-ru

|x|-21,9=6 2/3|x|=6 2/3 + 21,9|x|=Теперь раскрываем модуль:

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FedоrM

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|x|-21,9=6 2/3

|x|=6 2/3 + 21,9

|x|= $6\frac{2}{3} + 21\frac{9}{10} =\frac{20}{3} +\frac{219}{10} = \frac{857}{30} =28\frac{17}{30}$

Теперь раскрываем модуль:

$x_{1} =28\frac{17}{30} \\ x_{2} =-28\frac{17}{30}$

32 votes Thanks 59

axatar

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Ответ:

$\displaystyle \tt x_1=28\frac{17}{30}, x_2=-28\frac{17}{30}$

Объяснение:

$\displaystyle \tt |x|-21,9=6\frac{2}{3}\\\\ |x|=6\frac{2}{3}+21,9\\\\6\frac{2}{3}+21,9=6+\frac{2}{3}+21+\frac{9}{10}=27+\frac{20}{30}+\frac{27}{30}=27+\frac{47}{30}=27+1\frac{17}{30}=28\frac{17}{30}\\\\|x|=28\frac{17}{30}\\\\x_1=28\frac{17}{30}, x_2=-28\frac{17}{30}.$

18 votes Thanks 29

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