Question

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=5-x^2 . What are the dimensions of such a rectangle with the greatest possible area?

Answer 1

@zepdrix

Answer 2

I can't seem to find the the constraint and the good equation to make the problem work :/ except for x=-y - y

Answer 3

or wait forget that last equation :P

Answer 4

Let's see if we can get the box drawn accurately.