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

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asked Dec 8, 2024 142k views

1 Answer

Ravi Mengar · Answer 1 · 2024-12-14T22:08:29+0000

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

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.