Question

Find the zeros of the function f(x) = -0.5x²1.6x + 4.1. Round values to the nearest

hundredth (if necessary).
Answer Attempt 1 out of 2
Add a Zero No Zeros
Submit Answer
899

Answer 1

To find the zeros of the function, set it equal to zero and solve for x using the quadratic formula.

Step-by-step explanation:

The function is given as f(x) = -0.5x² + 1.6x + 4.1. To find the zeros, we need to set f(x) equal to zero and solve for x.

So, -0.5x² + 1.6x + 4.1 = 0. To solve this quadratic equation, we can use the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).

Plugging in the values for a, b, and c, we get the following quadratic formula: x = (-1.6 ± √(1.6² - 4(-0.5)(4.1))) / (2(-0.5)).

After calculation, the zeros of the function are approximately x = -3.81 and x = 2.56, rounded to the nearest hundredth.

Learn more about Finding zeros of a quadratic function