Math

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Does |x^2-3x+3|=3 have a solution?
My answer was that there isn't a solution.
Am i right?

  • Math -

    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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