Question 12
What is the largest real number $k$ such that
$$(x^2+y^2+4x-4y-1)^2+(x^2+y^2-12x-16y-k)^2=0$$
for some ordered pair of real numbers $(x,y)$?
$$(x^2+y^2+4x-4y-1)^2+(x^2+y^2-12x-16y-k)^2=0$$
for some ordered pair of real numbers $(x,y)$?
2025 VIMC keystage3-IWYMIC individual Question 12
xIMC · 2025 VIMC keystage3-IWYMIC individual