# 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?

##### 1 Answer

Oct 3, 2015

Refer to explanation

#### Explanation:

Since there is only one vertical asymptote that means that the trinomial

No the discriminant is equal to

but we want

Now for

Now we see that for

There is another possibility that results in a single vertical asymptote: If

(*) Credits to George C. for this addition