Question 891809
That means, find the vertex of the function, since the vertex will be a maximum.


Complete the Square using {{{(5/(2*2))^2=(5/4)^2}}} and convert the expression (after appropriate arithmetic and simplifications) into:


{{{highlight(-2(x-5/4)^2+49/8)}}}.
The maximum point is the vertex, (5/4, 49/8).