How do you solve the equation #abs(x-3)=5#?

1 Answer
Daniel L.
May 23, 2017

See explanation.

Explanation:

The absolute value of an expression is #5# if the expression's value is either #5# or #-5#, so this absolute value equation can be changed to 2 equations without absolute value.

#|x-3|=5 iff x-3=5 vv x-3=-5#

If you solve the 2 equations you get:

#x-3=5 => x=8#

and

#x-3=-5 =>x=-2#

Answer:

The equation has 2 solutions: #x=-2# and #x=8#

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