Simultaneous Equations - Graphical Representation
- Beena Mavani
Simultaneous Equations involving a variables of degree 2
Change the value 'm' and 'c' to 0. Observe what are the intersection points. Jot down the values. Do you find anything interseting ? or what these values are called with respect to a function or an equation?
Let us continue with 'm'= 0 and change 'c'. Thus the straight line will be parallel to ? quadratic equation continue to be move 'c' to -1, -2 , - 3. jot down straight line equation and the corresponding points of intersection. you can further go up i.e. by moving 'c' to positive values. Again jot down the points of intersection.
Investigation # 3
Continue with 'm' = 0 and play around with 'c' only. For what values of 'c' such the x-values are always positive? What happens when c = 6?
Investigation # 4
What happens when c= 7 ? How can you generalise?
For what values 'c' of and such that f(x) and g(x) do not intersect in a real Cartesian plane?