Question

tìm giá giá trị lớn nhất   A= I x - 150 I +102  /  I x - 150 I + 100

Answer 1

\(A=\dfrac{\left|x-150\right|+102}{\left|x-150\right|+100}=\dfrac{\left|x-150\right|+100+2}{\left|x-150\right|+100}=1+\dfrac{2}{\left|x-150\right|+100}\)

Có: |x - 150| ≥ 0

=>  |x - 150| + 100 ≥ 100

\(\Rightarrow\dfrac{2}{\left|x-150\right|+100}\le\dfrac{1}{50}\)

 \(\Rightarrow A\le\dfrac{51}{50}\)

Dấu = xảy ra khi x = 150

Vậy:...