Final answer:
The question seems to be asking for the solution to a quadratic equation using the quadratic formula; however, without the full context or the complete equation, we cannot determine the value of 'AP'.
Step-by-step explanation:
The question asked is incomplete and doesn't provide sufficient information for a direct answer. However, the reference material provided indicates the student is dealing with a quadratic equation and is likely seeking the value of 'AP' related to one. A quadratic equation takes the form ax² + bx + c = 0, where 'a', 'b', and 'c' are constants. The solutions for 'x' in a quadratic equation are given by the quadratic formula, which is x = −b ± √(b² − 4ac) / (2a).
Without the full context or the complete equation, we cannot directly solve for 'AP'. However, if AP represented the solution to a quadratic equation provided in the reference, you would substitute the given values of 'a', 'b', and 'c' into the quadratic formula to find the value of 'x', which might be referred to as 'AP' in the context of the student's specific question. For instance, with the constants a = 1, b = 10, and c = -200, substituting these into the quadratic formula yields the solutions to the equation.