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Question

Find the zeros of the function f(x) = 2x² - 12x + 13.8. Round
values to the nearest hundredth (if necessary).
Answer Attempt 1 out of 2
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Answer 1

The zeros of the function f(x) = 2x² - 12x + 13.8 are approximately x ≈ 3.61 and x ≈ 0.39, rounded to the nearest hundredth.

Step-by-step explanation:

The zeros of a function are the values of x for which the function equals zero. To find the zeros of the function f(x) = 2x² - 12x + 13.8, we can set the function equal to zero and solve for x.

2x² - 12x + 13.8 = 0

To solve this quadratic equation, we can use the quadratic formula: x = (-b ± √(b² - 4ac))/2a. Substituting the values from our equation, we get:

x = (-(-12) ± √((-12)² - 4(2)(13.8)))/(2(2))

Simplifying further, we have:

x = (12 ± √(144 - 110.4))/4

x = (12 ± √33.6)/4

Using a calculator, we can find the approximate values:

x ≈ 3.61, x ≈ 0.39

Therefore, the zeros of the function f(x) = 2x² - 12x + 13.8 are approximately x ≈ 3.61 and x ≈ 0.39, rounded to the nearest hundredth.

Learn more about Finding zeros of a quadratic function