Question

Rezolvati ecuatia
modul din 3x+1/2 ( supra 2) = 10.
cu explicatie va rog

Answer 1

$\bigg| \dfrac{3x + 1}{2} \bigg| = 10$

avem două cazuri:

1)

$\dfrac{3x + 1}{2} = - 10 \iff 3x + 1 = - 20$

$3x = - 20 - 1 \iff 3x = - 21 \big|:3$

$\implies \bf x = - 7$

2)

$\dfrac{3x + 1}{2} = 10 \iff 3x + 1 = 20$

$3x = 20 - 1 \iff 3x = 19 \big|:3$

$\implies \bf x = \dfrac{19}{3}$

$\implies S = \bigg\{-7;\dfrac{19}{3}\bigg\}$

Answer 2

$\it \dfrac{|3x+\dfrac{1}{2}|}{2}=10 \Rightarrow |3x+\dfrac{1}{2}|=20\Rightarrow3x+\dfrac{1}{2}=\pm20\bigg|_{\cdot2} \Rightarrow 6x+1=\pm40...$