Question

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/x/=5
/x+5/=0
/7x-2/=1

Answer 1

banuiesc ca-s module/x/=5⇒x=+ sau -5 pt ca /5/=5 si /-5/=5/x+5/=0⇒x=-5 pt ca daca x ia valoarea 5⇒/5+5/=/10/=10 si cand x ia valoarea minus 5⇒/-5+5/=/0/=0
/7x-2/=1
facem exucatia 7x-2=1⇒7x=1+2⇒7x=3⇒x=7supra3
acum pt x=-3supra7⇒/7×(-3supra7)-2/=/-3-2/=/-5/=5 nu respecta ralatia
pt x=3aupra7⇒/7×3supra7-2/=/3-2/=/1/=1 respecta relatia⇒x=3supra 7

Answer 2

$a).|x|=5 \\ x=5 \\ x=-5 \\ b).|x+5|=0 \\ x+5=0 \\ x=0-5 \\ x=-5$
$\displaystyle c).|7x-2|=1 \\ 7x-2=1 \\ 7x=1+2 \\ 7x=3 \\ x= \frac{3}{7} \\ 7x-2=-1 \\ 7x=-1+2 \\ 7x=1 \\ x= \frac{1}{7}$