Question

How do you solve `abs(5-4w )= 3w` and find any extraneous solutions?

Answer 1

`w = 5/7` and `w = 5`

Explanation:

The equation `abs(5-4w )= 3w` is equivalent to the couple of independent equations

#{ (5-4w= 3w), (5-4w= -3w) :}#

Solving we have `w = 5/7` and `w = 5`