rock.freak667 said:Well you can't solve it algebraically, you can solve it using a numerical method or if you use approximations or maybe some special function (which I am most likely unfamiliar with).
Yummys said:A numerical method? Like, plugging in numbers? Sorry I'm lost.
Yummys said:A numerical method? Like, plugging in numbers? Sorry I'm lost.
The points of intersection can be found by equating the two equations and solving for x. This will give us the x-coordinates of the points of intersection. To find the y-coordinates, substitute the obtained x-values into either of the original equations.
The number of points of intersection between two curves can vary. In this case, since one of the curves is a quadratic equation, there can be a maximum of two points of intersection.
Yes, it is possible for the points of intersection to be imaginary. This means that the curves do not intersect at any real points. To determine if the points of intersection are imaginary, solve the equations and check if the discriminant is less than 0.
To graphically find the points of intersection, plot both curves on the same coordinate system and visually determine where they intersect. This method may not be as accurate as solving the equations algebraically, but it can give a good estimate of the points of intersection.
Yes, it is possible for the two curves to not have any points of intersection. This means that the two curves do not intersect at any points and are parallel or do not intersect at all. This can be determined by solving the equations and checking if they have any common solutions.