SOLUTION: What are the value(s) of x in the equation |x - 3|= 2?

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Question 1190187: What are the value(s) of x in the equation |x - 3|= 2?
Found 3 solutions by ikleyn, Edwin McCravy, Alan3354:
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.

This equation describes real numbers x that are 2 units apart from the point 3 on the number line.


So, the solutions to this equations are  x= 3+2 = 5  and  3-2 = 1.


ANSWER.  The solutions are  x= 1  and  x= 5.

Solved.


Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

If you are required to go strictly by the definition 
of absolute value, you would do it this way:

abs%28x-3%29%22%22=%22%222

sqrt%28%28x-3%29%5E2%29%22%22=%22%222

Square both sides:

%28x-3%29%5E2%22%22=%22%222%5E2

x%5E2-6x%2B9%22%22=%22%224

Subtract 4 from both sides:

x%5E2-6x%2B5%22%22=%22%220

Factor the left sides:

%28x-5%29%28x-1%29%22%22=%22%220

x - 5 = 0;  x - 1 = 0
    x = 5;      x = 1 

Edwin

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What are the value(s) of x in the equation |x - 3|= 2?
---------------
x-3 = 2
x = 5
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-(x-3) = 2
x-3 = -2
x = 1