- #1

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## Homework Statement

f(x,y)= 3x

^{5}y

^{2}- 30x

^{3}y

^{2}+ 60xy

^{2}+150

How do I find the critical points where this equation equals zero?

## Homework Equations

None?

## The Attempt at a Solution

I found the partial derivatives, but I'm stuck now and don't know where to go from here.

dx = 15x

^{4}y

^{2 }- 90x

^{2}y

^{2}+ 60y

^{2}

dy = 6x

^{5}- 60x

^{3}y + 10xy + 240