Final answer:
The function F(x) does not have a vertical asymptote because the denominator is a constant (56). Vertical asymptotes occur where a function is undefined due to division by zero, which does not happen in this case.
Step-by-step explanation:
To find the vertical asymptote of the function F(x) = (x - 15x² - 47x) / 56, you need to determine where the function is undefined, which occurs when the denominator equals zero. However, this function does not have a variable in the denominator since 56 is a constant, implying that there are no vertical asymptotes for this function because it will never be undefined due to division by zero.
For clarity, let's correct the function's format, as it seems to be a typo in the given expression. Typically, a quadratic equation is presented in the form ax² + bx + c = 0 to find its roots using the quadratic formula, which is not directly related to finding vertical asymptotes unless you're dealing with rational functions (fractions). If you're looking for the roots of a quadratic function or working with a rational function that has a quadratic in the denominator, you would use the quadratic formula.