Finding the null gradient

Hello, I'm kind of struggling with a problem.

If

syms x y

g = gradient ([x^2 + x, y^2 - y], [x, y])

How can I determine [x, y] which make the gradient vector null?

I tried to use fsolve but couldn't get it to work.

A bit lost here. tks

[Walter Roberson]

try

solve(g,[x,y])

Answer 1

[Star Strider]

See if this does what you want:

syms x y
f = [x^2 + x, y^2 - y];
g1 = gradient(f(1), [x, y]);
g2 = gradient(f(2), [x, y]);
x0 = solve(g1 == 0)
y0 = solve(g2 == 0)

[bh1910]

Tks for your answer.

[Star Strider]

My pleasure!