a: \(M=x^2-2x+1-3=\left(x-1\right)^2-3>=-3\)
Dấu '=' xảy ra khi x=1
b: \(E=2\left(x^2+\dfrac{3}{2}x+\dfrac{5}{2}\right)\)
\(=2\left(x^2+2\cdot x\cdot\dfrac{3}{4}+\dfrac{9}{16}+\dfrac{31}{16}\right)\)
\(=2\left(x+\dfrac{3}{4}\right)^2+\dfrac{31}{8}>=\dfrac{31}{8}\)
Dấu '=' xảy ra khi x=-3/4
c: \(A=-\left(x^2-6x-3\right)\)
\(=-\left(x^2-6x+9-12\right)\)
\(=-\left(x-3\right)^2+12< =12\)
Dấu '=' xảy ra khi x=3