There is only one vartical asymptote of the curve: #y=(2x+1)/(x^2-x+k)# What is the sum of values that #k# can have?
Refer to explanation
Since there is only one vertical asymptote that means that the trinomial
No the discriminant is equal to
but we want
Now we see that for
There is another possibility that results in a single vertical asymptote: If
(*) Credits to George C. for this addition