Originally Posted by

**mitchelljk** $\displaystyle (x^2 + y^2 -x)^2$=$\displaystyle x^2 + y^2$

I found through doing some of the algebra that one x-intercept is (2,0) and that one y-intercept is (0,-1). And because that this equation is symmetical about the x-axis, another y-intercept is (0,1).

These intercepts are the only ones I could figure out on my own. The back of book says that the fourth intercept is (0,0). I cant figure out through my math, or through assumptions based on the equations symmerty why the remaining intercept is (0,0).

If anyone could explain to me how and why the remaining intercept is (0,0), that would be great! I've been trying to figure out why for about 2 hours now.