Final answer:
To find the value of x, we can use the quadratic formula x = (-b ± sqrt(b^2 - 4ac))/2a. Using this formula, the value of x is approximately 0.00139.
Step-by-step explanation:
To find the value of x, we can use the quadratic equation:
x = (-b ± sqrt(b^2 - 4ac))/2a
In this case, the equation is:
x^2 + 0.00088x - 0.000484 = 0
Using the quadratic formula, we can solve for x:
x = (-0.00088 ± sqrt(0.00088^2 - 4*1*(-0.000484))) / 2*1
Calculating the values under the square root, we get:
x = (-0.00088 ± sqrt(0.000774464)) / 2
And simplifying further:
x ≈ -0.0024, 0.00139
Since a negative value for x doesn't make sense in this context, we can discard -0.0024 as the physically impossible solution. Therefore, the value of x is approximately 0.00139.