Giải:
Bài 1:
a) \(A=\left(x+3\right)^2-15\ge-15\)
\("="\Leftrightarrow x+3=0\Leftrightarrow x=-3\)
Vậy ...
b) \(B=\left(x-1\right)^2+7\ge7\)
\("="\Leftrightarrow x-1=0\Leftrightarrow x=1\)
Vậy ...
Bài 2:
a) \(A=-\left(x-3\right)^2+2\)
\(\Leftrightarrow A=2-\left(x-3\right)^2\le2\)
\("="\Leftrightarrow x-3=0\Leftrightarrow x=3\)
Vậy ...
b) \(B=-\left(x+7\right)^2-1\)
\(\Leftrightarrow B=-1-\left(x+7\right)^2\le-1\)
\("="\Leftrightarrow x+7=0\Leftrightarrow x=-7\)
Vậy ...