Question

Find the zeros of the function f(x) = -0.9x² - 2.5x + 6. Round values to the nearest hundredth (if

necessary).
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Answer 1

To find the zeros of a quadratic function, we can use the quadratic formula. For the given function, the zeros are approximately 0.79 and -8.45.

Step-by-step explanation:

The zeros of a function are the values of x that make the function equal to zero. To find the zeros of the function f(x) = -0.9x² - 2.5x + 6, we need to solve the quadratic equation -0.9x² - 2.5x + 6 = 0.

We can solve this equation by factoring, completing the square, or using the quadratic formula. In this case, factoring is not the simplest option, so let's use the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).

Plugging in the values from the equation -0.9x² - 2.5x + 6 = 0 into the quadratic formula, we get two solutions (zeros): x ≈ 0.79 and x ≈ -8.45.

Learn more about Finding zeros of quadratic functions