Using Vieta's Theorem, it is found that c = 72.
<h3>What is the Vieta Theorem?</h3>
- Suppose we have a quadratic equation, in the following format:

The Theorem states that:


In this problem, the polynomial is:

Hence the coefficients are
.
Since the difference of the solutions is 1, we have that:


Then, from the first equation of the Theorem:





Now, from the second equation:



To learn more about Vieta's Theorem, you can take a look at brainly.com/question/23509978