This problem I think it can be soved with Lagrange multipliers but I tried to solve this with out them.
Find the maximum and minimum values of the variable x on the Equation:
I dont know if Im having all the solutions when I solve for y:
For which I ask:
Solving it I have:
Hello, kezman!
If I read the problem correctly, your approach is wrong . . .
Find the maximum and minimum values of x on the equation:
. .
If we're supposed to maximize/minimize , we must solve for
We have the quadratic: .
Quadratic Formula: .
. . and we have: .
And that is the function we must maximize/minimize.
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With Lagrange multipliers, we want to maximize
. . with the constraint:
So we have: .