Posted by **Unknown.** on Friday, August 17, 2012 at 12:09pm.

Does |x^2-3x+3|=3 have a solution?

My answer was that there isn't a solution.

Am i right?

- Math -
**Ben**, Friday, August 17, 2012 at 12:23pm
The left side can be -3 or 3 since the absolute value of -3 is 3.

Therefore this can be split in to 2 equations:

x^2-3x+3=3

Which simplifies to,

x^2-3x=0

and,

x^2-3x+3=-3

Which simplifies to,

x^2-3x+6=0

Try to solve these and check the discriminant to find the possible solutions.

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