Examples with solutions for Equations with Absolute Values: Double absolute value

Exercise #1

x1+x+1=4 ||x-1|+x+1|=4

Video Solution

Answer

x=2 x=2

Exercise #2

2x+x2=1 |2x+|x-2||=1

Video Solution

Answer

x=1 x=-1 , x=3 x=-3

Exercise #3

27x5=7 ||2-7x|-5|=7

Video Solution

Answer

a and c correct

Exercise #4

2x+4+x1=10 |2x+4+\left|x-1\right||=10

Video Solution

Answer

x=2.3 x=2.3 , x=15 x=-15

Exercise #5

2x+2+x1=7 \left||2x+2\right|+x-1|=7

Video Solution

Answer

x=2 x=2 , x=10 x=-10

Exercise #6

2x+4+x1=10 |\left|2x+4\right|+x-1|=10

Video Solution

Answer

x=2.3 x=2.3 , x=15 x=-15