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

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bmed90
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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)
 
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Yes I tried that, being that is the obvious way to do it. I just couldn't do the algebra. Thanks