Question

The area of the rhombus formed by points of intersection of parabolas y=x^2−b and y=−x^2 +b and their vertices is 54. Find b.

Answer 1

The four points are

(0,b),(√b,0),(0,-b),(-√b,0)

Now use your favorite method to find the base length and altitude, or sides and angles, etc. to find the area of the rhombus.

Answer 2

Steve, I am looking for an answer, not a way to find it.

Answer 3

And the area of a rhombus is 54. The question I am asking is Find B, when the equations are y=x^2 -b and y=-x^2 +b

Answer 4

If you don't want to learn, don't bother posting here. We are teachers not cheaters.