SOLUTION: Consider the graph of x^2+xy+y^2=1. Find all points where the tangent line is parallel to the line y = -x.

Question 1027275: Consider the graph of x^2+xy+y^2=1. Find all points where the tangent line is parallel to the line y = -x.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

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Looks like the two positions marked in red are good candidates.
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Which would be the intersection of the ellipse and the line .
Substituting,

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