Question

a) |x-6| = 10
b) $\frac{|x-1|}{|4|} = 2$

Answer 1

$A)\\ |x-6|=10\\ x-6=10\quad ou\quad x-6=-10\\ \\ x-6=10\\ x=6+10\\ x=16\\ \\ x-6=-10\\ x=-10+6\\ x=-4\\ \\ B)\\ \frac { |x-1| }{ |4| } =2\\ \\ \frac { x-1 }{ 4 } =2\quad ou\quad \frac { x-1 }{ 4 } =-2\\ \\ \frac { x-1 }{ 4 } =2\\ \\ x-1=2*4\\ x=8+1\\ x=9\\ \\ \frac { x-1 }{ 4 } =-2\\ \\ x-1=(-2)*4\\ x=-8+1\\ x=-7$