# Are you smarter than me?

Algebra Level 5

Let $$(x,y)$$ be a variable point on the curve $${ 4x }^{ 2 }+{ 9y }^{ 2 }-{ 8x }-36y+15=0$$

Then $$min({ x }^{ 2 }-2x+{ y }^{ 2 }-4y+5)+max({ x }^{ 2 }-2x+{ y }^{ 2 }-4y+5)$$ is :