Final answer:
The context provided relates to quadratic equations, which are typically in the form at² + bt + c = 0, and can be solved using the quadratic formula.
Step-by-step explanation:
The equation presented in the question does not strictly match any conventional form like an arithmetic sequence, a quadratic equation, a system of linear equations, or a geometric progression. However, given the additional information provided, it sounds like the context is referring to quadratic equations and their solutions using the quadratic formula. A quadratic equation is typically in the form at² + bt + c = 0, and the references to values for a, b, and c suggest that the original problem might be related to such an equation. Additionally, there is a mention of a kinematics equation which is often a quadratic equation when analyzing motion with constant acceleration.