Find the Maximum/Minimum Value x square root of 784-x^2

$x \sqrt{784 - x^{2}}$

Rewrite $784$ as $28^{2}$ .

$f (x) = x \sqrt{28^{2} - x^{2}}$

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 28$ and $b = x$ .

$f (x) = x \sqrt{(28 + x) (28 - x)}$

The minimum and maximum cannot be determined because this is not a quadratic function.

Not a Quadratic Function

Find the Maximum/Minimum Value x square root of 784-x^2

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