Nature of the Roots (Combination of Straight Line and the Curve)
When you have a straight line and a curve, you can solve the equation of the straight line and the curve simultaneously and form a quadratic equation, ax2 +bx + c = 0. The discriminant, gives information about the number of points of intersection.
![](http://spmaddmaths.blog.onlinetuition.com.my/wp-content/uploads/sites/3/2013/05/Picture17.png)
![](http://spmaddmaths.blog.onlinetuition.com.my/wp-content/uploads/sites/3/2013/05/Picture18.png)
![](http://spmaddmaths.blog.onlinetuition.com.my/wp-content/uploads/sites/3/2013/05/Picture19.png)
When you have a straight line and a curve, you can solve the equation of the straight line and the curve simultaneously and form a quadratic equation, ax2 +bx + c = 0. The discriminant, gives information about the number of points of intersection.
![](http://spmaddmaths.blog.onlinetuition.com.my/wp-content/uploads/sites/3/2013/05/Picture17.png)
![](http://spmaddmaths.blog.onlinetuition.com.my/wp-content/uploads/sites/3/2013/05/Picture18.png)
![](http://spmaddmaths.blog.onlinetuition.com.my/wp-content/uploads/sites/3/2013/05/Picture19.png)