Question

Find the zeros of the function f(x) = x² -3.3x - 4. Round values to the nearest hundredth (if necessary).

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Answer 1

The zeros of the function f(x) = x² - 3.3x - 4 can be found using the quadratic formula. The zeros are approximately -0.77 and 3.77.

Step-by-step explanation:

The zeros of the function f(x) = x² -3.3x - 4 can be found by solving the equation x² - 3.3x - 4 = 0. We can use the quadratic formula to find the zeros:

The quadratic formula is given by: x = (-b ± sqrt(b² - 4ac)) / (2a)

In this case, a = 1, b = -3.3, and c = -4. Substituting these values into the formula, we get:

x = (-(-3.3) ± sqrt((-3.3)² - 4(1)(-4))) / (2(1))

Simplifying further, we get:

x = (3.3 ± sqrt(10.89 + 16))/2

x = (3.3 ± sqrt(26.89))/2

Finally, rounding to the nearest hundredth, we get:

x ≈ -0.77 or x ≈ 3.77

Learn more about Finding zeros of a quadratic function