[tex]\it b)\ \ |2x-1|=17\ \Rightarrow\ 2x-1=\pm17\ \Rightarrow\ 2x-1\in\{-17,\ 17\}|_{+1}\ \Rightarrow\ \\ \\ \ \Rightarrow\ 2x\in\{-16,\ 18\}|_{:2}\ \Rightarrow\ x\in\{-8,\ 9\}[/tex]
Deci, ecuația dată admite două soluții, numere întregi:
[tex]\it x_1=-8,\ \ x_2=9[/tex]
d)
[tex]\it d)\ \ Vom\ \ nota\ |2x-1|=t,\ iar\ ecua\c{\it t}ia\ devine:\\ \\ -4t+2=-t-7\ \Rightarrow\ 2+7=4t-t\ \Rightarrow\ 9=3t\ \Rightarrow\ t=3\ \Rightarrow\ \\ \\ \ \Rightarrow\ |2x-1|=3\ \Rightarrow\ 2x-1=\pm3\ \Rightarrow\ 2x-1\in\{-3,\ 3\}|_{+1}\ \Rightarrow\ 2x\in\{-2,\ 4|_{:2\Rightarrow}\\ \\ \ \Rightarrow\ x\in\{-1,\ 2\}[/tex]
