Answer:
x = {- 8, 2}
Step-by-step explanation:
Since, B is between line AC.
[tex]\therefore AB + BC = AC\\
\therefore x^2 - 3x + 9x = 16\\
\therefore x^2 - 3x + 9x - 16=0\\
\therefore x^2 + 6x - 16=0\\
\therefore x^2 + 8x - 2x- 16=0\\
\therefore x(x +8) - 2(x + 8)=0\\
\therefore (x+8)(x-2)=0\\
\therefore x + 8 = 0\: or \: x-2=0\\
\therefore x = - 8 \:or\: x = 2\\
\huge \orange {\boxed {\therefore x = \{-8,\: 2\}}} [/tex]
