Question

Solve /x-5/=3A. x=2, x=8B. x=-8, x=8C. x=-2, x=2D. x=-8, x=-2

Answer 1

According to the given data we have the following equation:

|x-5|=3

In order to solve the equation above we would make the following:

$\mathrm{Apply\: absolute\: rule}\colon\quad \mathrm{If}\: |u|\: =\: a,\: a>0\: \mathrm{then}\: u\: =\: a\: \quad \mathrm{or}\quad \: u\: =\: -a$

So, if x-5=-3. x=-3+5. x=2

Therefore the value of x would be 2

if x-5=3.x=3+5.x=8

Therefore the value of x would be 8.

Therefore, the combine solution would be:

x=2

x=8