Question

Rezolvati,in multimea numerelor intregi,ecuatia (1/2-3/4) la puterea 3 :(-1/4) la puterea 2 -0,5=x/16

Answer 1

$( \frac{1}{2} - \frac{3}{4} )^3:(- \frac{1}{4})^2-0,5= \frac{x}{16} \\ ( \frac{2}{4} - \frac{3}{4} )^3: \frac{1}{16} - \frac{5}{10} = \frac{x}{16} \\ (- \frac{1}{4} )^3* \frac{16}{1} - \frac{5}{10} = \frac{x}{16} \\ -\frac{1}{64} * \frac{16}{1} - \frac{5}{10} = \frac{x}{16} \\ -\frac{1}{4}- \frac{5}{10} = \frac{x}{16} \\ -\frac{5}{20} - \frac{10}{20} = \frac{x}{16} \\ \frac{-15}{20} = \frac{x}{16} \\ 20x=-15*16 \\ 20x=-240 \\ x=- \frac{240}{20} \\ x=-12$

Answer 2

(1/2-3/4)³ :(-1/4)² -0,5=x/16
[(2-3)/4]³ :1/16 -1/2=x/16
(-1/4)³ :1/16 -1/2=x/16
-1/64 ×16 -1/2=x/16
-1/4-1/2=x/16
(-1-2)/4=x/16
-3/4=x/16
x=-12