Question

rezolvati ecuatiile urmatoare in multimea nr reale
$5 (( \frac{4x + 3}{5} - x) \times 2 + \frac{x}{2} ) = \frac{2x + 1}{2}$
​

Answer 1

Răspuns:

x = 11

Explicație pas cu pas:

$5[(\frac{4x+3}{5} - x)* 2 +\frac{x}{2} ] = \frac{2x+1}{2}$

$5(\frac{4x+3-5x}{5} *2 +\frac{x}{2} ) = \frac{2x+1}{2}$

$5[\frac{2(3-x)}{5} +\frac{x}{2} ] = \frac{2x+1}{2}$

$5*\frac{4(3-x) + 5x}{10} = \frac{2x+1}{2}$

$\frac{12-4x+5x}{2} = \frac{2x+1}{2}$

12+x = 2x+1

x-2x = 1-12

-x = -11

x = 11