Question

Số giá trị của x thoả mãn: \(\text{\x}-1\backslash+\backslash2x-6\backslash=12\)

Answer 1

nghiệm x=1....3

*x<1 \(\Leftrightarrow1-x+6-2x=12\Rightarrow-3x=5\Rightarrow x=-\frac{5}{3}\left(nhan\right)\)

*1<=1<3\(\Leftrightarrow x-1-2x+6=12\Rightarrow x=-7\left(loia\right)\)

*x>=3\(x-1+2x-6=12\Rightarrow3x=19\Rightarrow x=\frac{19}{3}\)

KL:

x=19/3

x=-5/3

Answer 2

\(\left|x-1\right|+\left|2x-6\right|=12\)

TH1: \(x\le1\)

\(\Leftrightarrow1-x+6-2x=12\)\(\Leftrightarrow7-3x=12\)

\(\Leftrightarrow3x=-5\)\(\Leftrightarrow x=-\frac{5}{3}\)(tmđk)

TH2: \(1< x\le3\)

\(\Leftrightarrow x-1+6-2x=12\)\(\Leftrightarrow5-x=12\)

\(\Leftrightarrow x=-7\)(loại)

TH3: x > 3

\(\Leftrightarrow x-1+2x-6=12\)\(\Leftrightarrow3x-7=12\)

\(\Leftrightarrow3x=19\)\(\Leftrightarrow x=\frac{19}{3}\)(tmđk)

Vậy x=-5/3 hoặc x=19/3