N = 2x - 2x2-5
= -2 ( x2 - x ) -5
\(=-2\left(x^2-2.x\cdot\frac{1}{2}+\frac{1}{4}-\frac{1}{4}\right)-5\)
\(=-2\left(x-\frac{1}{2}\right)^2+2\cdot\frac{1}{4}-5=-2\left(x-\frac{1}{2}\right)^2+\frac{1}{2}-5\)
\(=-2\left(x-\frac{1}{2}\right)^2+-\frac{9}{2}\)
=> GTLN của N là -9/2 khi x = 1/2