Question: Plot (x 2 + y 2 ) 2 = 12(x 2 y 2 ) + 2 for x and y between 4 and 4

Plot (x²+ y²)²= 12(x²− y²) + 2 for x and y between −4 and 4 using a computer algebra system. How many horizontal tangent lines does the curve appear to have? Find the points where these occur.

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