Question

Find the roots of the equation I 2x - 3 I = 27.
A. { - 15 , - 12}
B. { - 12 , 15 }
C. { 12 , - 15}
D. {12 , 15 }

Answer 1

Answer:

$option \: (b )\: is \: correct.$

Step-by-step explanation:

$|2x - 3| = 27 \\ \\ 2x - 3 = 27 \: \: \: \: \: \: \: \: \: \: 2x - 3 = - 27 \\ \\ 2x = 30 \: \: \: \: \: \: \: \: \: \: 2x = - 24 \\ \\ x = 15 \: \: \: \: \: \: \: \: \: \: x = - 12 \\ \\ option \: (b) \: is \: correct.$