I will be taking the Accuplacer test at my school in December. I was given a practice test at my school's testing center and this is one of the questions:

If 3x^2 - 2x + 7 = 0, then (x - 1/3)^2 =

A. 20/9

B. 7/9

C. -7/9

D. -8/9

E. -20/9

By using the quadratic formula I get A. 20/9. However, in the answer sheets it lists that the answer is E. -20/9. Not only do I think it's wrong, but I also think it's impossible to get a negative answer out of (x - 1/3)^2 since I understand it to be the case that any exponent that's a multiple of 2 will always give you a positive answer.

Am I off base here, guys? I appreciate any comments and people shipping in with what they think of the problem and answer situation.

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