1. The problem statement, all variables and given/known data determine the stationary points of the function f(x,y) = (x^2 + 1/2(xy) + y^2)e^(x+y) 2. Relevant equations 3. The attempt at a solution first i got df/dx= (x^2+(1/2)xy+y^2)e^(x+y)+(2x+(1/2)y)e^(x+y) df/dy= (x^2+(1/2)xy+y^2)e^(x+y)+((1/2)x+2y)e^(x+y) i then let them both = 0 and i get (x^2+2x+(1/2)xy+(1/2)y+y^2)=0 and (x^2+(1/2)x+(1/2)xy+2y+y^2)=0 i've tried different to solve them simultaniously and then sub back in. I've tried to factorise them which i think i should do but cant seem to get it could anyone give me some pointers please?