Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

For the function defined as follows, find all values of x and y such that both fₓ(x,y)=0 and fᵧ(x,y)=0
f(x,y)=5x²+9y²+6xy+36x-5
There are two solutions where fx(x,y)=0 and fy(x,y)=0, in order from increasing x values, when x=____ and y=____ (Type integers or simplified fractions.)