Question

Știind ca |x|=+7•(+3)+21:(-7)-24:(-2)-(-15):(-3) , aflați x€Z

Answer 1

$|x| = 21 - 3 + 12 - ( + 5) \\ |x| = 21 - 3 + 12 - 5 \\ |x| = 33 - 8 \\ |x| = 25 \\ x = + 25 \: \: sau \: \: x = - 25$

x={ -25 ; +25}

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Answer 2

Răspuns:

$\large \bf|x|=+7 \cdot(+3)+21:(-7)-24:(-2)-(-15):(-3)$

$\large \bf|x|=+21+21:(-7)-24:(-2)-(-15):(-3)$

$\large \bf|x|=+21 - 3-24:(-2)-(-15):(-3)$

$\large \bf|x|=+21 - 3 + 12-(-15):(-3)$

$\large \bf|x|=+21 - 3 + 12-( + 5)$

$\large \bf|x|=+21 - 3 + 12- 5$

$\large \bf|x|=+18 + 12- 5$

$\large \bf|x|=30- 5$

$\large \bf|x|=25 \implies x_{1} = 25; \: \: x_{2} = - 25$

$\color {red}\Large\boxed{ \bf x \in \{-25;+ 25\}}$