Question

The maximum value of $\frac{17}{3}-{(x-\frac{4}{5})}^2$ is

• A. $4/5$
• B. $-4/5$
• C. $17/3$
• D. $-17/3$

Answer 1

Answer: (C)

$17/3$

As ${(x-\frac{4}{5})}^2\ge 0$

$\therefore -{(x-\frac{4}{5})}^2\le 0$

$\Rightarrow$ max. value of given

expression is $\frac{17}{3}$