Question

Determinati numarul natural m pentru care are loc egalitatea:
{13+[25x4-(3x11+3x22)]xm}:2=13

Answer 1

   
[tex]\displaystyle \\ \{13+[25\times 4-(3\times 11+3\times 22)]\times m\}:2=13 \\ \\ \{13+[25\times 4-(3\times 11+3\times 22)]\times m\}=13\times 2 \\ \\ 13+[25\times 4-(3\times 11+3\times 22)]\times m=26 \\ \\ ~[25\times 4-(3\times 11+3\times 22)]\times m=26-13 \\ \\ ~[25\times 4-(3\times 11+3\times 22)]\times m=13 \\ \\ m= \frac{13}{25\times 4-(3\times 11+3\times 22)} \\ \\ m= \frac{13}{25\times 4-(33+66)}= \frac{13}{100-99} =\frac{13}{1}=\boxed{13}[/tex]