Câu 2:
\(=2\left(x^2-\frac{1}{2}+\frac{3}{2}\right)\)
\(=2\left(x^2-\frac{1}{2}+\left(\frac{1}{4}\right)^2-\left(\frac{1}{4}\right)^2+\frac{3}{2}\right)\)
\(=2\left(\left(x-\frac{1}{4}\right)^2+\frac{23}{16}\right)\)
\(=2\left(x-\frac{1}{4}\right)^2+2.\frac{23}{16}\)
\(=2\left(x-\frac{1}{4}\right)^2+\frac{23}{8}\le\frac{23}{8}\)
Vậy MaxB = \(\frac{23}{8}\Leftrightarrow x-\frac{1}{4}=0\)
\(\Leftrightarrow x=\frac{1}{4}\)