Bunuel wrote:
What is the product of all the solutions of (x + 2)^2 = |x + 2|?
A. -6
B. -2
C. 2
D. 6
E. 12
Keep in mind:
\((x+2)^2 = |x+2|^2\)
Hence we can write the given equation as:\(|x+2|^2 - |x+2| = 0 \)
\(|x+2| * ( |x+2| - 1) = 0\)
So either |x+2| = 0 which means x = -2
or
|x+2| - 1 = 0 which means x is -1 or -3
Product of all solutions = -1 * -2 * -3 = -6
Answer (A)
Video on solving absolute values:
https://youtu.be/oqVfKQBcnrs
Statistics : Posted by KarishmaB • on 07 Aug 2023, 09:00 • Replies 26 • Views 15762