Question

Tìm giá trị nhỏ nhất của:

C=\(\left|2x-\dfrac{1}{3}\right|+107\ge107\)

Answer 1

\(C=\left|2x-\dfrac{1}{3}\right|+107\)

\(\left|2x-\dfrac{1}{3}\right|\ge0\)

\(\Rightarrow\left|2x-\dfrac{1}{3}\right|+107\ge107\)

Dấu "=" xảy ra khi:

\(\left|2x-\dfrac{1}{3}\right|=0\Rightarrow2x=\dfrac{1}{3}\Rightarrow x=\dfrac{1}{6}\)

Vậy\(MIN_C=107\) khi \(x=\dfrac{1}{6}\)

Answer 2

\(C=\left|2x-\dfrac{1}{3}\right|+107\ge107\)

\(\Rightarrow Min_C=107\)

Khi \(Min_C=107\) thì \(\left|2x-\dfrac{1}{3}\right|=0\)

\(\Rightarrow x=\dfrac{1}{6}\)

Vậy \(Min_C=107\) khi \(x=\dfrac{1}{6}\)