Answer:
We know that the sum of the degrees of the vertices of the graph is twice the number of edges of the graph.
Let be a graph with vertices
Then where
is the number of edges of the graph. Since the graph is regular of degree r then all vertices have degree r. Thus,
we are given
To find x-intercept means we have to find zeros
and for finding zeros , we will use quadratic formula
and we have it has two x-intercepts
so, it's discriminant must be greater than 0
so, we will find discriminant
now, we can compare with
and then we can find a , b and c
now, we can find D
It has two x-intercepts
so,
now, we can solve for m
............Answer
