Question

|3x+5|=8

vreau si eu rasp va rog

Answer 1

|3x+5|=8 => 3x+5=8 sau -8

Cazul l:

3x+5=8 |-5

3x=3 |:3

x=1

Cazul ll:

3x+5=-8 |-5

3x=-13

$x = - \frac{13}{3}$

$raspuns : x = - \frac{13}{3} \: sau \: 1$

Answer 2

$\it |3x+5|=8 \Rightarrow 3x+5=\pm8 \Rightarrow 3x+5\in\{-8,\ 8\}_{-5}\Rightarrow 3x\in\{-13,\ 3\}|_{:3}\Rightarrow\\ \\ \\ x\in\Big\{-\dfrac{13}{3},\ 1\Big\}$