Question

|3x + 5| -5|2- (3x + 7)| = -32
Va roooog!! Urgeeeeent!!!!

Answer 1

Răspuns:

Explicație pas cu pas:

Answer 2

$\it |2-(3x+7)|=|2-3x-7|=|-3x-5|=|-(3x+5)|=|3x+5|$

Ecuația devine:

$\it |3x+5|-5|3x+5|=-32 \Rightarrow -4|3x+5|=-32|_{:(-4)} \Rightarrow |3x+5|=8 \Rightarrow \\ \\ \Rightarrow 3x+5=\pm8 \Rightarrow 3x+5\in\{-8,\ \ 8\}|_{-5} \Rightarrow 3x\in\{-13,\ \ 3\}|_{:3} \Rightarrow \\ \\ \Rightarrow x\in\Big\{-\dfrac{13}{3},\ \ 1\Big\}$