Question

Rezolvati in Q+ ecuatia : 4x supra 5 = 1,5 [ 0,1(6) supra 5 + 1 intreg si 1 supra 9]

Answer 1

$\displaystyle \frac{4x}{5} = \frac{15}{10} ( \frac{16-1}{90} :5+1 \frac{1}{9})\\ \frac{4x}{5} = \frac{3}{2} ( \frac{15}{90} \cdot \frac{1}{5} + \frac{10}{9} )\\ \frac{4x}{5} = \frac{3}{2}\cdot \frac{103}{90} \\ \frac{4x}{5} = \frac{103}{60} \\ 4x= \frac{515}{60} \\ x= \frac{515}{6} \cdot \frac{1}{4} \\ x= \frac{515}{24}$