Question

Rezolvati in multimea numerelor naturale , ecuatia -> [1 - 0,(3) ] x 3/2 : 1/3 - 1(intreg) 1/3= x/6

Precizez că :
x -> înmulțire
/ -> supra.

Answer 1

Prima paranteza da 0,(6)
1 intreg si 1/3 inseamna 4/3
Ecuatia devine:

$0,(6)* \frac{3}{2}: \frac{1}{3}- \frac{4}{3}= \frac{x}{6} \\ \frac{6}{9}* \frac{3}{2}*3- \frac{4}{3}= \frac{x}{6} \\ \frac{6}{9}* \frac{9}{2}- \frac{4}{3}= \frac{x}{6} \\ 3- \frac{4}{3}= \frac{x}{6} \\ \frac{9}{3} - \frac{4}{3}= \frac{x}{6} \\ \frac{5}{3}= \frac{x}{6} \\ \frac{10}{6}= \frac{x}{6} \\ x=10$

Nu uita ca $\frac{x}{y}: \frac{a}{b} = \frac{x}{y} * \frac{b}{a}$