Final answer:
To solve a quadratic equation using the quadratic formula, properly identify the coefficients a, b, and c, and substitute them into x = (-b ± √(b² - 4ac)) / (2a). A given set of coefficients a = 1, b = 0.0211, and c = -0.0211 will yield two solutions after computation and rounding to the nearest hundredth.
Step-by-step explanation:
To solve a quadratic equation in the form ax² + bx + c = 0 using the quadratic formula, we need to first identify the coefficients a, b, and c. The quadratic formula is given by: x = (-b ± √(b² - 4ac)) / (2a).
In the provided equations, there seems to be confusion between the coefficients. We need to clarify what the exact quadratic equation is before applying the formula. However, it appears from the information provided that in one case, a = 1, b = 0.0211, and c = -0.0211. Substituting these into the quadratic formula, we obtain two potential solutions for x:
x = (-0.0211 ± √(0.0211² - 4 × 1 × -0.0211)) / (2 × 1)
To arrive at the numeric solutions, we would calculate the discriminant (√(b² - 4ac)) and then perform the division by 2a, applying rounding as necessary to get the solutions to the nearest hundredth.