Final answer:
The solutions to the equation x² + 0.00088x - 0.000484 = 0 are x = 0.013978 and x = -0.014858.
Step-by-step explanation:
The equation can be rewritten as:
x² + 0.00088x - 0.000484 = 0
Now we can use the quadratic formula to solve for x:
x = (-b ± √(b² - 4ac))/(2a)
Where a = 1, b = 0.00088, and c = -0.000484
Plugging in the values:
x = (-0.00088 ± √(0.00088² - 4(1)(-0.000484)))/(2(1))
x = (-0.00088 ± √(0.000774464))/2
x = (-0.00088 ± 0.02783661)/2
Thus, the solutions to the equation are x = 0.013978, -0.014858