Calculus problem need help!!--- Absolute Value?

Question

ok I'm a Sr. in High School in a Calculus AP class but this is just review.. help me!
(absolute value)

1. |x|²-6|x|+8=0


2.|x|³-2|x|²-3|x|=0

thx!

Answer 1

You will have to examine each problem twice. Once when x>0 and once when x<0.

For x>0, x^2-6x+8=0 means you won't have to do anything but solve.

For x<0, you will have x^2 + 6x +8 = 0. Now solve.

Both sets of answers will be true, but double-check just to make sure.