Final answer:
The quadratic equation provided x² + 0.0211x - 0.0211 = 0 does not have excluded values for x based on denominators or undefined expressions. The equation can be solved using the quadratic formula, yielding solutions x = 0.0216 or x = -0.0224, neither of which are excluded values.
Step-by-step explanation:
The student has asked about the excluded values of x for the quadratic equation x² + 0.0211x - 0.0211 = 0. To identify the excluded values, we need to ensure that x does not cause any zero denominators or undefined expressions in the equation. However, since the equation provided is a standard quadratic equation and there are no fractions or denominators, we need to focus on solving the equation rather than excluding values.
To solve a quadratic equation of the form ax² + bx + c = 0, we can use the quadratic formula, which is x = [-b ± √(b² - 4ac)] / (2a). Plugging the coefficients a = 1, b = 0.0211, and c = -0.0211 into the formula gives:
x = [-0.0211 ± √(0.0211² - 4(1)(-0.0211))] / (2(1))
After calculating, we find that x = 0.0216 or x = -0.0224, neither of which needs to be excluded. Therefore, none of the options a) x=-1, x=0, x=1, b) x=1, x=0, c) x=0, x=1, or d) x=-1, x=1 are correct concerning the excluded values for the given equation. There are no values of x that need to be excluded when solving this quadratic equation.