If the curve in the plane has the equation

MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

If the curve

C

in the

xy

plane has the equation

x^2+xy+y^2=1

, then the fourth power of the greatest distance of a point on

C

from the origin is .....