\(E=\dfrac{5-3x}{4x-8}\)
\(=-\dfrac{3x-5}{4x-8}\)
\(=-\dfrac{1}{4}\cdot\dfrac{12x-20}{4x-8}\)
\(=-\dfrac{1}{4}\cdot\dfrac{12x-16-4}{4x-8}\)
\(=-\dfrac{1}{4}\left(3-\dfrac{4}{4x-8}\right)\)
\(=-\dfrac{1}{4}\left(3-\dfrac{1}{x-2}\right)\)
Để E min thì \(3-\dfrac{1}{x-2}\) max
=>\(\dfrac{1}{x-2}\) min
=>x-2=-1
=>x=1
