Question

 Các bạn giúp mk mỗi bài 1 hoi ạ:))
mk cám ơn:))

Answer 1

\(1,\\ a,A_1=\left(x-2\right)^2+5\ge5\)

Dấu \("="\Leftrightarrow x=2\)

\(A_2=\left(x+1\right)^2+7\ge7\)

Dấu \("="\Leftrightarrow x=-1\)

\(A_3=\left(3-2x\right)^2-1\ge-1\)

Dấu \("="\Leftrightarrow x=\dfrac{3}{2}\)

\(A_4=\left(x-2\right)^2-3\ge-3\)

Dấu \("="\Leftrightarrow x=2\)

\(b,B_1=\left|x-2\right|+3\ge3\)

Dấu \("="\Leftrightarrow x=2\)

\(B_2=\left|x+1\right|+3\ge3\)

Dấu \("="\Leftrightarrow x=-1\)

\(B_3=\left|2x-4\right|-3\ge-3\)

Dấu \("="\Leftrightarrow x=2\)

\(B_4=\left|6x+1\right|-20\ge-20\)

Dấu \("="\Leftrightarrow x=-\dfrac{1}{6}\)

 

Answer 2

Bài 1: 

a: \(A_1=\left(x-2\right)^2+5\ge5\forall x\)

Dấu '=' xảy ra khi x=2

\(A_2=\left(x+1\right)^2+7\ge7\forall x\)

Dấu '=' xảy ra khi x=-1

\(A_3=\left(3-2x\right)^2-1\ge-1\forall x\)

Dấu '=' xảy ra khi \(x=\dfrac{3}{2}\)

\(A_4=\left(x-2\right)^2-3\ge-3\forall x\)

Dấu '=' xảy ra khi x=2