Find all solutions for the absolute value equation:
I 2x-3I=x+3
a. {0}
b. {0, -6}
c. {0, 6}
d. {6}

Question

Find all solutions for the absolute value equation:
I 2x-3I=x+3
a.	{0}
	 b.	{0, -6}
	 c.	{0, 6}
	 d.	{6}

hoblos · Answer

I 2x-3I=x+3

so
2x-3=x+3                or           2x-3=-(x+3)
   x=6                                     2x-3=-x-3
                                                  3x = 0
                                                    x=0

thus solutions  are {0, 6}