If $x$ is real, then the maximum value of $5 + 4 x - 4 x^{2}$ will be equal to

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Solution

The correct option is B $6$
$f (x) = 5 + 4 x - 4 x^{2}$
$a = - 4; b = 4; c = 5$
$y_{m a x} = (b^{2} - 4 a x) / - 4 a$
$= 4^{2} - 4 (- 4) (5) / - 4 (- 4)$
$= (16 + 80) / 16$
$= \frac{96}{16}$
$= 6$ .

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