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

1 Answer
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