Question

What are the zeros of this function?

A) (x = 0) and (x = 6)
B) (x = 0) and (x = -6)
C) (x = 0) and (x = -9)
D) (x = 3) and (x = -9)

Answer 1

To find the zeros of the quadratic equation x2 + 0.012x - 0.006 = 0, we use the quadratic formula with a=1, b=0.012, and c=-0.006. The calculation using these values will give us the x-values where the function equals zero.

Step-by-step explanation:

The task is to find the zeros of a quadratic function. The standard form of a quadratic equation is ax2 + bx + c = 0, and the zeros can be found using the quadratic formula, which is x = [-b ± √(b2 - 4ac)] / (2a). The zeros represent the values of x for which the function equals zero.

To solve for the zeros, we rewrite the given equation: x2 +1.2 x 10-2x -6.0 × 10-3 = 0 as x2 + 0.012x - 0.006 = 0. Plugging the values of a, b, and c into the quadratic formula, we obtain the zeros which are solutions to the quadratic equation.

For this example, the calculation might look like this:
x = [-0.012 ± √((0.012)2 - 4 × 1 × (-0.006))] / (2 × 1)
Evaluating this will give us the two possible zeros of the function, which should match one of the given answer choices.