Question

What are the zeros of this function?

a. {-4,2}
b. {2}
c. {-4}
d. All real numbers

Answer 1

The zeros of the quadratic function are approximately -0.056 and 0.0141.

Step-by-step explanation:

The zeros of a quadratic function can be found using the quadratic formula. In this case, the quadratic equation is represented by

x² + 0.0211x - 0.0211 = 0.

Substituting the values a = 1, b = 0.0211, and c = -0.0211 into the quadratic formula, we get

x = (-0.0211 ± √(0.0211)² - 4(1)(-0.0211)) / (2(1))

Simplifying further, we have

x = (-0.0211 ± √0.00044241 + 0.0008442) / 2

x = (-0.0211 ± √0.00128661) / 2

x ≈ -0.0211 ± 0.0358909

Therefore, the zeros of the function are approximately x ≈ -0.056 and x ≈ 0.0141.