SOLUTION: |x^2-2x|=|3x-6|

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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.


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