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I have this equation: $x^4 + y^4 = x^2 + y^2$ and I need to convert it to a polar one...

I have tried and the result is $$r = \sqrt{\frac{1}{\cos^4\theta + \sin^4\theta}}$$

Is this ok?

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up vote 2 down vote accepted

It is fine, though there is also the point $r=0$, i.e. $(0,0)$.

Here is a picture, with the curve passing through the eight obvious points.

enter image description here

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