Final answer:
The roots of the quadratic equation are approximately 0.0216 and -0.0224.
Step-by-step explanation:
This quadratic equation can be solved using the quadratic formula. We rearrange the equation to have a quadratic equation equal to zero, which is:
x² + 1.2x - 0.006 = 0
Now, using the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
where a = 1, b = 1.2, and c = -0.006. After substituting the values into the formula and solving, we get the two possible values of x as approximately 0.0216 and -0.0224.