How would I find complex intersections without the intersection function on the calculator.
Say I have y=4xe^(-x^2) and y = |x|. How would I find this intersection.
Note. I really only need the x values because I am trying to then find the area between these two curves.
Thanks. One more question. I have not had to find intersections in a long time. What if I had something simple like
seems I forgot how to find the roots when I have a power higher than 2.
The "rational root" theorem says that any rational number satisfying this equation must be an integer that divides 2. That tells you that the only possible rational roots are 1, -1, 2, and -2. Try those to see if there is a rational root.
If not, then you will need to use "Ferrari's cubic formula" that ADARSH links to.