45−5 √2The integral from 0 to this quantity of x is equal to 3 .
The area of a regular pentagon with this side lengthis √5 √ . This is the only real solution to the equation 0 = x3 −x2 +x−1. 45−5 √2The integral from 0 to this quantity of x is equal to 3 . Tthis quantity times π is equal to the surface area of the sphere x2 +y2 +z2 = 1, and it is equal to the4eccentricity of a   parabola. A triangle with vertices at the origin, (0,2) and (1, 2) has area equal to this number, and this number is the determinant of the 4 1 matrix 3 1 . For ten points, identify this number, the only nonzero solutionto the equation x2 = x.
The area of a regular pentagon with this side lengthis √5 √ .
1