Using lagrange i got something like $$3x = 4z = 6y$$
And the constraint is $$z^2 = x^2 + y^2$$
Where do you get from here?
I usually get $x=y=z$, but here i got $3$ variables with different values.
Using lagrange i got something like $$3x = 4z = 6y$$
And the constraint is $$z^2 = x^2 + y^2$$
Where do you get from here?
I usually get $x=y=z$, but here i got $3$ variables with different values.
The only solution to that system is $x=y=z=0$. Use $z=\frac{3}{4}x,y=\frac{1}{2}x$ and substitute into the constraint. The only solution is $x=0$, and the other variables follow.