Absolute values are a way of finding a distant from zero, which means there will be 2 answers; one will be positive, and the other will be negative.
|3x - 4| = 5and |3x - 4 = a^5 Because you need 2 answers, you have to make 5 positive and negative.
Another way to write this equation would be...
5=|3x-4|=—5
Now lets continue...
5=3x-4=—5
Add 4 to both sides...
9=3x=—1
Now divide by 3...
3=x= -1/3
So the solution is...
X={-1/3 3}
