Final answer:
To solve the quadratic equation, we apply the quadratic formula, considering the values of a, b, and c, and compute the discriminant. We then take its square root and evaluate both possible solutions (+ and -), resulting in two values of x, from which we choose the valid one.
Step-by-step explanation:
To solve the quadratic equation x² + 0.0211x - 0.0211 = 0, we can use the quadratic formula, which is x = (-b ± √(b² - 4ac)) / (2a). In this equation, a = 1, b = 0.0211, and c = -0.0211. To solve for x, we find the discriminant (b² - 4ac), take the square root, and evaluate for both signs in the numerator (+ and -), then divide by 2a. This gives us two potential solutions for x, and we must determine which is correct based on the context of the problem.