Final answer:
The original equation seems to be a quadratic equation with two variables, requiring clarification for an accurate solution. If it were in standard form with one variable, the quadratic formula could be applied using the provided coefficients.
Step-by-step explanation:
The equation provided appears to be a quadratic equation in two variables (x and y), but it seems there is some confusion about the coefficients and the format of the question. Despite this, the standard approach to solving such an equation would involve completing the square or factoring, depending on the specific form of the equation. However, the provided reference information seems to be more relevant to a quadratic equation in one variable of the form at² + bt + c = 0 and the application of the quadratic formula. For a proper quadratic equation in one variable with the given coefficients a = 4.90, b = 14.3, and c = -20.0, the roots can be found using the quadratic formula x = (-b ± √(b² - 4ac)) / (2a).
If the original equation provided was intended to be in this format, the proper approach would be to apply the quadratic formula directly. However, since the equation contains two variables and is not already in the standard form at² + bt + c = 0, further clarification on the problem would be needed to provide an accurate solution procedure.