Question

Giá trị lớn nhất của

A=x+\(\frac{1}{2}\)-|x-\(\frac{2}{3}\)|

Answer 1

Vì lx-2/3l \(\ge\)0

=>1/2 - lx-2/3l \(\le\)1/2

=>x+ 1/2 - lx-2/3l \(\le\)x+1/2

=> A\(\le\)x+1/2

=> Max A = x+1/2 khi lx-2/3l=0 hay x=2/3

=>Max A= 2/3+1/2= 7/6 khi x=2/3

 

Answer 2

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