Final answer:
The basic quadratic form is ax²+bx+c = 0, and its solutions are found using the quadratic formula. The question seems to incorrectly link the quadratic form to circle equations, which are typically of the form x² + y² = r², different from a quadratic equation.
Step-by-step explanation:
The question refers to the basic quadratic form, which is typically written as ax²+bx+c = 0. This is a standard form for writing quadratic equations, where 'a', 'b', and 'c' represent constants, and 'x' is the variable. The solutions, or roots, of such an equation are given by the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
For example, an equation in the form at² + bt + c = 0 with constants a = 4.90, b = 14.3, and c = -20.0 can be solved using the quadratic formula. In terms of a circle, the quadratic equation does not directly describe a circle, but rather forms such as x² + y² = r² or the parametric equations for a circle can be related to quadratic expressions.