help ommgggg
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=2–x2. What are the dimensions of such a rectangle with the greatest possible area? i get x=2/sqrt(6) but its not the answer help!

Question

help ommgggg
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=2–x2. What are the dimensions of such a rectangle with the greatest possible area?  i get x=2/sqrt(6) but its not the answer help!

anonymous · Answer

base will be $2x$ and height will be $2-x^2$ so area is 
$$A(x)=2x(2-x^2)$$ maximize that one