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## Homework Statement

Find the domain of f(x,y)=sqrt(5xy-2y^2)

## Homework Equations

## The Attempt at a Solution

As far as I understand it's all about solving inequalities when you have this kind of problem.

The problem doesn't state it is in ℝ

^{2}but I'm pretty sure it is.

So no negative numbers under the root.

Therefore 5xy ≥ -2y^2

x ≥ -2y/5 or -y ≥ 5x/2

But how exactly is this useful information?

So I looked up the topic on Youtube, Multivariable Calculus: Finding and Sketching the Domain.

It sounds perfect and the guy has two examples and one even has a root in it.

Sadly I still don't get it :/