Question: Why intersectplot can't plot intersection of x^2+b*x+c and b^2-4*c?

Is there any reason why the intersectplot can't plot the following curve?

plots:-intersectplot( x^2 + b*x + c , b^2 - 4*c , b = -4..4, c = -4..4, x = -4..4, color = red );

But it can plot the next one!

plots:-intersectplot( x , b^2 - 4*c , b = -4..4, c = -4..4, x = -4..4, color = red );

The output in the two cases respectively are shown below.

Please Wait...