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What OS and version of Mathematica are you using? You may want to play around with OverScriptBox:  http://reference.wolfram.com/mathematica/ref/OverscriptBox.html
ok I found the solution myself: In[12]:= FindMaximum[{x - 2 x^2 && x > 0}, x, WorkingPrecision -> 8] Out[12]= {0.12500000, {x -> 0.24995000}} (that is && insted of ,) However still I am wondering what made the difference and why with Maximize...