Question

Ex 3 va rog multtt
3x in baza zece supra 15 sa fie ireductibila

Answer 1

Răspuns:

31/15 ; 32/15 ;  34/15 ;  37/15 ;  38/15 ;

Explicație pas cu pas:

Answer 2

 

$\displaystyle\\\text{Il descompunem pe 15 in factori primi:}\\\\15 = 3\times5\\\\\text{Avem fractia: }\\\\\frac{~~\overline{3x}~~}{15} = \text{fractie ireductibila.}\\\\\implies~\overline{3x}~\text{ nu trebuie sa se divida nici cu 3 nici cu 5 .}\\\\\implies~~\overline{3x}\in\{31;~32;~34;~37;~38\}\\\\\text{Verificare:}\\\\\boxed{\frac{31}{15};~\frac{32}{15};~\frac{34}{15};~\frac{37}{15};~\frac{3}{15}}~~\text{sunt ireductibile.}\\\\\implies~~\boxed{x\in\{1;~2;~4;~7;~8\}}$