Final answer:
The solution to the student's equation −3 = 3/x −6 is not provided in the choices, which suggests there might be an error in the equation or the answer options. The quadratic equation x² + 0.0211x −0.0211 = 0 can be solved using the quadratic formula, but it's unrelated to the student's question.
Step-by-step explanation:
To solve the equation −3 = 3/x −6, we will isolate x. First, add 6 to both sides of the equation to obtain 3 = 3/x. Then, multiply both sides by x to get rid of the fraction: 3x = 3. Now, divide both sides by 3 to solve for x, resulting in x = 1. However, this solution does not match any of the options provided and it seems like there might be a misunderstanding in the provided equation or the choices given.
If we were to solve x² + 0.0211x −0.0211 = 0 using the quadratic formula, we would substitute a = 1, b = 0.0211, and c = −0.0211 into the formula x = −b ± √(b² − 4ac) / 2a. This would result in two solutions, one of which might match the correct choice from the multiple-choice question. Since the provided information and the student's question do not align, it is unclear which particular equation and set of answers to address.