Not sure how to solve this system of equations (easy)

Click For Summary

Homework Help Overview

The original poster is working on finding local minimum and maximum values by identifying critical points from a system of equations derived from the functions fx and fy, specifically 4x^3 - 4y = 0 and 4y^3 - 4x = 0.

Discussion Character

  • Exploratory, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to solve a system of two equations to find critical points but expresses difficulty with the algebra involved. Some participants suggest solving for one variable and substituting it into the other equation.

Discussion Status

The discussion includes attempts to clarify the algebraic approach needed to solve the equations. The original poster indicates they have resolved their issue, suggesting a productive direction was achieved.

Contextual Notes

The original poster's inquiry is framed within the context of homework, indicating potential constraints on the methods they can use or the level of assistance they can seek.

bmed90
Messages
99
Reaction score
0

Homework Statement



Im trying to find local min and max values. So I have fx and fy. I need to find critical points by setting them equal to 0


4x^3-4y=0 and 4y^3-4x=0

Homework Equations




4x^3-4y=0 and 4y^3-4x=0

are fx and fy respectively

The Attempt at a Solution



I just need to know how you would solve this set of 2 equations to get the points (0,0),(1,1) AND (-1,-1)
 
Physics news on Phys.org
Solve for one variable in one of the equations, and substute for that variable in the other equation.
 
Yes I tried that, being that is the obvious way to do it. I just couldn't do the algebra. Thanks
 
Nevermind, I got it =D
 

Similar threads

Replies
7
Views
2K
Replies
2
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 27 ·
Replies
27
Views
2K
  • · Replies 16 ·
Replies
16
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
8
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K