Final answer:
The quadratic formula is used to solve quadratic equations of the form ax² + bx + c = 0 by identifying the coefficients a, b, and c, and finding the roots of the equation.
Step-by-step explanation:
The quadratic formula is a solution to the equation of the form ax² + bx + c = 0. When given a quadratic equation, one can apply the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a), to find the roots of the equation, which are the values of x for which the quadratic equation equals zero.
One of the provided examples (x² + 0.0211x - 0.0211 = 0) can be solved using the quadratic formula, by identifying a = 1, b = 0.0211, c = -0.0211, which would yield the roots of x that solve the equation.