- #1
ElijahRockers
Gold Member
- 270
- 10
Homework Statement
f(x,y) = y2-x2, g(x,y) = x2/4 +y2=9
Homework Equations
[itex]\nabla f = \lambda \nabla g[/itex]
[itex]-2x = \lambda \frac{x}{2}[/itex]
[itex]2y = 2\lambda y[/itex]
[itex]\frac{1}{4} x^2 + y^2 = 9[/itex]
The Attempt at a Solution
I arrived at the three equations above. So according to the first equation, lambda can equal -4. According to the second equation, it can equal 1. After this, I am algebraically lost. The x's and y's cancel themselves out from the first two equations. What does this mean?