SOLUTION: |x^2-2x|=|3x-6|
Algebra
->
Absolute-value
-> SOLUTION: |x^2-2x|=|3x-6|
Log On
Algebra: Absolute value
Section
Solvers
Solvers
Lessons
Lessons
Answers archive
Answers
Click here to see ALL problems on absolute-value
Question 1005305
:
|x^2-2x|=|3x-6|
Answer by
ikleyn(52787)
(
Show Source
):
You can
put this solution on YOUR website!
Figure
. Plots |x^2-2x| and |3x-6|
You need to consider the given equation on three separate intervals/segment:
1) x < 0,
2) 0 <= x <= 2, and
3) x > 2.
On the first interval your equation becomes
.
On the second interval your equation becomes
.
On the third interval your equation becomes
.
Now solve each equation in its interval.