ABSOLUTE VALUE EQUATIONS-1

If │2x – 13 │= 21; Find  x

Solution

±(2x – 13 )= 21

2x -13= 21    OR   –(2x-13) = 21

2x – 13 = 21    OR   -2x+13= 21

2x = 21 + 13    OR   -2x= 21-13

2x = 34     OR   -2x  =  8

2      2                2        2

x = 17  OR  x = 4

Hence x = 17 OR x = 4     

TRY THIS...............................

If │4x – 16 │= 32; Find  x