Final answer:
The equation x³ - 5x² -22x +56 cannot be solved with the quadratic formula as it is a cubic equation. The quadratic formula is useful for quadratic equations of the form ax² + bx + c = 0. If the student meant to state a quadratic equation, they should provide the correct formula for assistance.
Step-by-step explanation:
The equation provided, x³ - 5x² -22x +56, is a cubic equation, not a quadratic equation. However, the student seems to be asking for help solving a quadratic equation based on the provided appendix information. To solve a quadratic equation of the form ax² + bx + c = 0, we can use the quadratic formula:
x = √[(-b ± √(b² - 4ac)) / (2a)].
In the case of the cubic equation x³ - 5x² -22x +56, factoring or numerical methods such as the Newton-Raphson method could be used to find the roots. However, without further information, it is not possible to apply the quadratic formula directly to this cubic equation. If the equation was misstated and should actually be a quadratic equation, please provide the correct equation so it can be solved using the methods outlined in the appendix references.