a) 34 + (−3)(𝑥 − 17) = 79
34 +(-3x)+51 =79
(-3x)+51 =79-34
-3x +51 =45
-3x =45-51
-3x =-6
x =-6:(-3)
x =2
b) (𝑥 + 16)(3 − 𝑥) = 0
⇒\(\left[ \begin{array}{l}x+16=0\\3-x=0\end{array} \right.\)
⇒\(\left[ \begin{array}{l}x=0-16\\x=0+3\end{array} \right.\)
⇒\(\left[ \begin{array}{l}x=-16\\x=3\end{array} \right.\)
Vậy x ∈{-16;3}
c) |𝑥 − 4| = 13 − (−6)
|x - 4|=13+6
|x - 4|=19
⇒\(\left[ \begin{array}{l}x-4=19\\x-4=-19\end{array} \right.\)
⇒\(\left[ \begin{array}{l}x=19+4\\x=-19+4\end{array} \right.\)
⇒\(\left[ \begin{array}{l}x=23\\x=-15\end{array} \right.\)
Vậy x∈{-15;23}
Chúc bn học tốt!