Question

Am o mare problema cu modulele ..va rog, mai ajutati-ma si la aceste doua subpuncte ale exercitiului ,multumesc anticipat !
| x supra 2 minus x minus 3 supra 4 | = 2 ;
| x supra 2 + 3x supra 4 minus 5x supra 6|=15 supra 2

Answer 1

$\displaystyle a).\left | \frac{x}{2} - \frac{x-3}{4} \right|=2 \\ \frac{x}{2} - \frac{x-3}{4} =2 \\ 2x-x+3=8 \\ 2x-x=8-3 \\ x=5 \\ \frac{x}{2} - \frac{x-3}{4} =-2 \\ 2x-x+3=-8 \\ 2x-x=-8-3 \\ x=-11 \\ S=\{-11;5\}$
$\displaystyle b). \left| \frac{x}{2} + \frac{3x}{4} - \frac{5x}{6} \right|= \frac{15}{2} \\ \frac{x}{2} + \frac{3x}{4} - \frac{5x}{6}= \frac{15}{2} \\ 6x+9x-10x=90 \\ 5x=90 \\ x= \frac{90}{5} \\ x=18 \\ \frac{x}{2} + \frac{3x}{4} - \frac{5x}{6}=- \frac{15}{2} \\ 6x+9x-10x=-90 \\ 5x=-90 \\ x=- \frac{90}{5} \\ x=-18 \\ S=\{-18;18\}$